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Finding the Fourth Proportional to 22,337.89, 30,823.97 and 13,385.16

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Solution

The fourth proportional to 22,337.89, 30,823.97 and 13,385.16 is: 18,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.89 : 30,823.97 = 13,385.16 : x
  2. Step 2: Convert to fraction form
    22,337.89/30,823.97 = 13,385.16/x
  3. Step 3: Cross multiply
    22,337.89x = 30,823.97 × 13,385.16
  4. Step 4: Simplify right side
    22,337.89x = 412,583,703.36
  5. Step 5: Solve for x
    x = 412,583,703.36/22,337.89
  6. Step 6: Final answer
    x = 18,470.13

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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.