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Finding the Fourth Proportional to 12,854.64, 17,740.32 and 8,073.30

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Solution

The fourth proportional to 12,854.64, 17,740.32 and 8,073.30 is: 11,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.64 : 17,740.32 = 8,073.30 : x
  2. Step 2: Convert to fraction form
    12,854.64/17,740.32 = 8,073.30/x
  3. Step 3: Cross multiply
    12,854.64x = 17,740.32 × 8,073.30
  4. Step 4: Simplify right side
    12,854.64x = 143,222,925.46
  5. Step 5: Solve for x
    x = 143,222,925.46/12,854.64
  6. Step 6: Final answer
    x = 11,141.73

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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.