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Finding the Fourth Proportional to 21,478.70, 32,227.65 and 9,785.90

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Solution

The fourth proportional to 21,478.70, 32,227.65 and 9,785.90 is: 14,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.70 : 32,227.65 = 9,785.90 : x
  2. Step 2: Convert to fraction form
    21,478.70/32,227.65 = 9,785.90/x
  3. Step 3: Cross multiply
    21,478.70x = 32,227.65 × 9,785.90
  4. Step 4: Simplify right side
    21,478.70x = 315,376,560.14
  5. Step 5: Solve for x
    x = 315,376,560.14/21,478.70
  6. Step 6: Final answer
    x = 14,683.22

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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.