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Finding the Fourth Proportional to 14,148.87, 21,194.14 and 8,287.71

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Solution

The fourth proportional to 14,148.87, 21,194.14 and 8,287.71 is: 12,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.87 : 21,194.14 = 8,287.71 : x
  2. Step 2: Convert to fraction form
    14,148.87/21,194.14 = 8,287.71/x
  3. Step 3: Cross multiply
    14,148.87x = 21,194.14 × 8,287.71
  4. Step 4: Simplify right side
    14,148.87x = 175,650,886.02
  5. Step 5: Solve for x
    x = 175,650,886.02/14,148.87
  6. Step 6: Final answer
    x = 12,414.48

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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.