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Finding the Fourth Proportional to 12,565.37, 17,336.66 and 8,091.71

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Solution

The fourth proportional to 12,565.37, 17,336.66 and 8,091.71 is: 11,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.37 : 17,336.66 = 8,091.71 : x
  2. Step 2: Convert to fraction form
    12,565.37/17,336.66 = 8,091.71/x
  3. Step 3: Cross multiply
    12,565.37x = 17,336.66 × 8,091.71
  4. Step 4: Simplify right side
    12,565.37x = 140,283,097.95
  5. Step 5: Solve for x
    x = 140,283,097.95/12,565.37
  6. Step 6: Final answer
    x = 11,164.27

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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.