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Finding the Fourth Proportional to 14,260.64, 19,680.72 and 7,972.61

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Solution

The fourth proportional to 14,260.64, 19,680.72 and 7,972.61 is: 11,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.64 : 19,680.72 = 7,972.61 : x
  2. Step 2: Convert to fraction form
    14,260.64/19,680.72 = 7,972.61/x
  3. Step 3: Cross multiply
    14,260.64x = 19,680.72 × 7,972.61
  4. Step 4: Simplify right side
    14,260.64x = 156,906,705.08
  5. Step 5: Solve for x
    x = 156,906,705.08/14,260.64
  6. Step 6: Final answer
    x = 11,002.78

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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.