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Finding the Fourth Proportional to 25,116, 34,650.24 and 16,162.08

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Solution

The fourth proportional to 25,116, 34,650.24 and 16,162.08 is: 22,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,116 : 34,650.24 = 16,162.08 : x
  2. Step 2: Convert to fraction form
    25,116/34,650.24 = 16,162.08/x
  3. Step 3: Cross multiply
    25,116x = 34,650.24 × 16,162.08
  4. Step 4: Simplify right side
    25,116x = 560,019,950.90
  5. Step 5: Solve for x
    x = 560,019,950.90/25,116
  6. Step 6: Final answer
    x = 22,297.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.