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Finding the Fourth Proportional to 16,504.86, 24,754.71 and 5,411.31

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Solution

The fourth proportional to 16,504.86, 24,754.71 and 5,411.31 is: 8,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.86 : 24,754.71 = 5,411.31 : x
  2. Step 2: Convert to fraction form
    16,504.86/24,754.71 = 5,411.31/x
  3. Step 3: Cross multiply
    16,504.86x = 24,754.71 × 5,411.31
  4. Step 4: Simplify right side
    16,504.86x = 133,955,337.23
  5. Step 5: Solve for x
    x = 133,955,337.23/16,504.86
  6. Step 6: Final answer
    x = 8,116.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.