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Finding the Fourth Proportional to 17,838.43, 24,616.78 and 10,284.78

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Solution

The fourth proportional to 17,838.43, 24,616.78 and 10,284.78 is: 14,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.43 : 24,616.78 = 10,284.78 : x
  2. Step 2: Convert to fraction form
    17,838.43/24,616.78 = 10,284.78/x
  3. Step 3: Cross multiply
    17,838.43x = 24,616.78 × 10,284.78
  4. Step 4: Simplify right side
    17,838.43x = 253,178,166.61
  5. Step 5: Solve for x
    x = 253,178,166.61/17,838.43
  6. Step 6: Final answer
    x = 14,192.85

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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.