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Finding the Fourth Proportional to 14,672.76, 20,248.20 and 8,385

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Solution

The fourth proportional to 14,672.76, 20,248.20 and 8,385 is: 11,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672.76 : 20,248.20 = 8,385 : x
  2. Step 2: Convert to fraction form
    14,672.76/20,248.20 = 8,385/x
  3. Step 3: Cross multiply
    14,672.76x = 20,248.20 × 8,385
  4. Step 4: Simplify right side
    14,672.76x = 169,781,157
  5. Step 5: Solve for x
    x = 169,781,157/14,672.76
  6. Step 6: Final answer
    x = 11,571.18

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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.