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Finding the Fourth Proportional to 16,611,102.40, 24,889,826.40 and 9,401,195.20

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Solution

The fourth proportional to 16,611,102.40, 24,889,826.40 and 9,401,195.20 is: 14,086,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,611,102.40 : 24,889,826.40 = 9,401,195.20 : x
  2. Step 2: Convert to fraction form
    16,611,102.40/24,889,826.40 = 9,401,195.20/x
  3. Step 3: Cross multiply
    16,611,102.40x = 24,889,826.40 × 9,401,195.20
  4. Step 4: Simplify right side
    16,611,102.40x = 233,994,116,480,513.25
  5. Step 5: Solve for x
    x = 233,994,116,480,513.25/16,611,102.40
  6. Step 6: Final answer
    x = 14,086,609.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.