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Finding the Fourth Proportional to 24,902.84, 34,373.14 and 16,411.20

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Solution

The fourth proportional to 24,902.84, 34,373.14 and 16,411.20 is: 22,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.84 : 34,373.14 = 16,411.20 : x
  2. Step 2: Convert to fraction form
    24,902.84/34,373.14 = 16,411.20/x
  3. Step 3: Cross multiply
    24,902.84x = 34,373.14 × 16,411.20
  4. Step 4: Simplify right side
    24,902.84x = 564,104,475.17
  5. Step 5: Solve for x
    x = 564,104,475.17/24,902.84
  6. Step 6: Final answer
    x = 22,652.22

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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.