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Finding the Fourth Proportional to 12,811.18, 17,687.65 and 8,037.66

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Solution

The fourth proportional to 12,811.18, 17,687.65 and 8,037.66 is: 11,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.18 : 17,687.65 = 8,037.66 : x
  2. Step 2: Convert to fraction form
    12,811.18/17,687.65 = 8,037.66/x
  3. Step 3: Cross multiply
    12,811.18x = 17,687.65 × 8,037.66
  4. Step 4: Simplify right side
    12,811.18x = 142,167,276.71
  5. Step 5: Solve for x
    x = 142,167,276.71/12,811.18
  6. Step 6: Final answer
    x = 11,097.13

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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.