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Finding the Fourth Proportional to 21,578.60, 32,359.70 and 8,429.27

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Solution

The fourth proportional to 21,578.60, 32,359.70 and 8,429.27 is: 12,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.60 : 32,359.70 = 8,429.27 : x
  2. Step 2: Convert to fraction form
    21,578.60/32,359.70 = 8,429.27/x
  3. Step 3: Cross multiply
    21,578.60x = 32,359.70 × 8,429.27
  4. Step 4: Simplify right side
    21,578.60x = 272,768,507.69
  5. Step 5: Solve for x
    x = 272,768,507.69/21,578.60
  6. Step 6: Final answer
    x = 12,640.69

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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.