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Finding the Fourth Proportional to 16,398, 24,599.40 and 5,301

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Solution

The fourth proportional to 16,398, 24,599.40 and 5,301 is: 7,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398 : 24,599.40 = 5,301 : x
  2. Step 2: Convert to fraction form
    16,398/24,599.40 = 5,301/x
  3. Step 3: Cross multiply
    16,398x = 24,599.40 × 5,301
  4. Step 4: Simplify right side
    16,398x = 130,401,419.40
  5. Step 5: Solve for x
    x = 130,401,419.40/16,398
  6. Step 6: Final answer
    x = 7,952.28

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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.