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Finding the Fourth Proportional to 19,854.96, 27,400.32 and 10,780.71

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Solution

The fourth proportional to 19,854.96, 27,400.32 and 10,780.71 is: 14,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.96 : 27,400.32 = 10,780.71 : x
  2. Step 2: Convert to fraction form
    19,854.96/27,400.32 = 10,780.71/x
  3. Step 3: Cross multiply
    19,854.96x = 27,400.32 × 10,780.71
  4. Step 4: Simplify right side
    19,854.96x = 295,394,766.83
  5. Step 5: Solve for x
    x = 295,394,766.83/19,854.96
  6. Step 6: Final answer
    x = 14,877.63

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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.