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Finding the Fourth Proportional to 20,387.70, 30,589.33 and 7,916.48

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Solution

The fourth proportional to 20,387.70, 30,589.33 and 7,916.48 is: 11,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,387.70 : 30,589.33 = 7,916.48 : x
  2. Step 2: Convert to fraction form
    20,387.70/30,589.33 = 7,916.48/x
  3. Step 3: Cross multiply
    20,387.70x = 30,589.33 × 7,916.48
  4. Step 4: Simplify right side
    20,387.70x = 242,159,819.16
  5. Step 5: Solve for x
    x = 242,159,819.16/20,387.70
  6. Step 6: Final answer
    x = 11,877.74

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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.