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Finding the Fourth Proportional to 14,937.86, 20,614.72 and 8,132.34

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Solution

The fourth proportional to 14,937.86, 20,614.72 and 8,132.34 is: 11,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,937.86 : 20,614.72 = 8,132.34 : x
  2. Step 2: Convert to fraction form
    14,937.86/20,614.72 = 8,132.34/x
  3. Step 3: Cross multiply
    14,937.86x = 20,614.72 × 8,132.34
  4. Step 4: Simplify right side
    14,937.86x = 167,645,912.04
  5. Step 5: Solve for x
    x = 167,645,912.04/14,937.86
  6. Step 6: Final answer
    x = 11,222.89

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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.