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Finding the Fourth Proportional to 14,780.92, 20,397.86 and 8,066.48

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Solution

The fourth proportional to 14,780.92, 20,397.86 and 8,066.48 is: 11,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.92 : 20,397.86 = 8,066.48 : x
  2. Step 2: Convert to fraction form
    14,780.92/20,397.86 = 8,066.48/x
  3. Step 3: Cross multiply
    14,780.92x = 20,397.86 × 8,066.48
  4. Step 4: Simplify right side
    14,780.92x = 164,538,929.73
  5. Step 5: Solve for x
    x = 164,538,929.73/14,780.92
  6. Step 6: Final answer
    x = 11,131.85

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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.