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Finding the Fourth Proportional to 21,470.44, 32,200.80 and 9,787

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Solution

The fourth proportional to 21,470.44, 32,200.80 and 9,787 is: 14,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.44 : 32,200.80 = 9,787 : x
  2. Step 2: Convert to fraction form
    21,470.44/32,200.80 = 9,787/x
  3. Step 3: Cross multiply
    21,470.44x = 32,200.80 × 9,787
  4. Step 4: Simplify right side
    21,470.44x = 315,149,229.60
  5. Step 5: Solve for x
    x = 315,149,229.60/21,470.44
  6. Step 6: Final answer
    x = 14,678.28

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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.