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Finding the Fourth Proportional to 20,755.65, 31,133.37 and 12,438.15

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Solution

The fourth proportional to 20,755.65, 31,133.37 and 12,438.15 is: 18,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.65 : 31,133.37 = 12,438.15 : x
  2. Step 2: Convert to fraction form
    20,755.65/31,133.37 = 12,438.15/x
  3. Step 3: Cross multiply
    20,755.65x = 31,133.37 × 12,438.15
  4. Step 4: Simplify right side
    20,755.65x = 387,241,526.07
  5. Step 5: Solve for x
    x = 387,241,526.07/20,755.65
  6. Step 6: Final answer
    x = 18,657.16

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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.