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Finding the Fourth Proportional to 12,854.09, 17,740.55 and 8,138.81

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Solution

The fourth proportional to 12,854.09, 17,740.55 and 8,138.81 is: 11,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.09 : 17,740.55 = 8,138.81 : x
  2. Step 2: Convert to fraction form
    12,854.09/17,740.55 = 8,138.81/x
  3. Step 3: Cross multiply
    12,854.09x = 17,740.55 × 8,138.81
  4. Step 4: Simplify right side
    12,854.09x = 144,386,965.75
  5. Step 5: Solve for x
    x = 144,386,965.75/12,854.09
  6. Step 6: Final answer
    x = 11,232.76

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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.