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Finding the Fourth Proportional to 14,234.87, 19,644.15 and 7,947.47

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Solution

The fourth proportional to 14,234.87, 19,644.15 and 7,947.47 is: 10,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.87 : 19,644.15 = 7,947.47 : x
  2. Step 2: Convert to fraction form
    14,234.87/19,644.15 = 7,947.47/x
  3. Step 3: Cross multiply
    14,234.87x = 19,644.15 × 7,947.47
  4. Step 4: Simplify right side
    14,234.87x = 156,121,194.58
  5. Step 5: Solve for x
    x = 156,121,194.58/14,234.87
  6. Step 6: Final answer
    x = 10,967.52

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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.