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Finding the Fourth Proportional to 23,002.35, 31,737.22 and 13,436.65

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Solution

The fourth proportional to 23,002.35, 31,737.22 and 13,436.65 is: 18,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.35 : 31,737.22 = 13,436.65 : x
  2. Step 2: Convert to fraction form
    23,002.35/31,737.22 = 13,436.65/x
  3. Step 3: Cross multiply
    23,002.35x = 31,737.22 × 13,436.65
  4. Step 4: Simplify right side
    23,002.35x = 426,441,923.19
  5. Step 5: Solve for x
    x = 426,441,923.19/23,002.35
  6. Step 6: Final answer
    x = 18,539.06

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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.