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Finding the Fourth Proportional to 14,680.64, 20,256.17 and 8,714.25

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Solution

The fourth proportional to 14,680.64, 20,256.17 and 8,714.25 is: 12,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.64 : 20,256.17 = 8,714.25 : x
  2. Step 2: Convert to fraction form
    14,680.64/20,256.17 = 8,714.25/x
  3. Step 3: Cross multiply
    14,680.64x = 20,256.17 × 8,714.25
  4. Step 4: Simplify right side
    14,680.64x = 176,517,285.85
  5. Step 5: Solve for x
    x = 176,517,285.85/14,680.64
  6. Step 6: Final answer
    x = 12,023.82

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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.