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Finding the Fourth Proportional to 14,231.60, 19,639 and 7,943.92

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Solution

The fourth proportional to 14,231.60, 19,639 and 7,943.92 is: 10,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.60 : 19,639 = 7,943.92 : x
  2. Step 2: Convert to fraction form
    14,231.60/19,639 = 7,943.92/x
  3. Step 3: Cross multiply
    14,231.60x = 19,639 × 7,943.92
  4. Step 4: Simplify right side
    14,231.60x = 156,010,644.88
  5. Step 5: Solve for x
    x = 156,010,644.88/14,231.60
  6. Step 6: Final answer
    x = 10,962.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.