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Finding the Fourth Proportional to 16,381.56, 24,572.34 and 4,694.78

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Solution

The fourth proportional to 16,381.56, 24,572.34 and 4,694.78 is: 7,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.56 : 24,572.34 = 4,694.78 : x
  2. Step 2: Convert to fraction form
    16,381.56/24,572.34 = 4,694.78/x
  3. Step 3: Cross multiply
    16,381.56x = 24,572.34 × 4,694.78
  4. Step 4: Simplify right side
    16,381.56x = 115,361,730.39
  5. Step 5: Solve for x
    x = 115,361,730.39/16,381.56
  6. Step 6: Final answer
    x = 7,042.17

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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.