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Finding the Fourth Proportional to 22,813.56, 31,487.94 and 13,385.16

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Solution

The fourth proportional to 22,813.56, 31,487.94 and 13,385.16 is: 18,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.56 : 31,487.94 = 13,385.16 : x
  2. Step 2: Convert to fraction form
    22,813.56/31,487.94 = 13,385.16/x
  3. Step 3: Cross multiply
    22,813.56x = 31,487.94 × 13,385.16
  4. Step 4: Simplify right side
    22,813.56x = 421,471,114.97
  5. Step 5: Solve for x
    x = 421,471,114.97/22,813.56
  6. Step 6: Final answer
    x = 18,474.59

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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.