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Finding the Fourth Proportional to 15,171.93, 22,755.76 and 5,814.31

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Solution

The fourth proportional to 15,171.93, 22,755.76 and 5,814.31 is: 8,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.93 : 22,755.76 = 5,814.31 : x
  2. Step 2: Convert to fraction form
    15,171.93/22,755.76 = 5,814.31/x
  3. Step 3: Cross multiply
    15,171.93x = 22,755.76 × 5,814.31
  4. Step 4: Simplify right side
    15,171.93x = 132,308,966.52
  5. Step 5: Solve for x
    x = 132,308,966.52/15,171.93
  6. Step 6: Final answer
    x = 8,720.64

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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.