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Finding the Fourth Proportional to 20,387.89, 30,580.35 and 9,146.71

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Solution

The fourth proportional to 20,387.89, 30,580.35 and 9,146.71 is: 13,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,387.89 : 30,580.35 = 9,146.71 : x
  2. Step 2: Convert to fraction form
    20,387.89/30,580.35 = 9,146.71/x
  3. Step 3: Cross multiply
    20,387.89x = 30,580.35 × 9,146.71
  4. Step 4: Simplify right side
    20,387.89x = 279,709,593.15
  5. Step 5: Solve for x
    x = 279,709,593.15/20,387.89
  6. Step 6: Final answer
    x = 13,719.40

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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.