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Finding the Fourth Proportional to 24,677.24, 34,065.84 and 15,737

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Solution

The fourth proportional to 24,677.24, 34,065.84 and 15,737 is: 21,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.24 : 34,065.84 = 15,737 : x
  2. Step 2: Convert to fraction form
    24,677.24/34,065.84 = 15,737/x
  3. Step 3: Cross multiply
    24,677.24x = 34,065.84 × 15,737
  4. Step 4: Simplify right side
    24,677.24x = 536,094,124.08
  5. Step 5: Solve for x
    x = 536,094,124.08/24,677.24
  6. Step 6: Final answer
    x = 21,724.23

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