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Finding the Fourth Proportional to 14,120.58, 19,486.47 and 7,747.78

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Solution

The fourth proportional to 14,120.58, 19,486.47 and 7,747.78 is: 10,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.58 : 19,486.47 = 7,747.78 : x
  2. Step 2: Convert to fraction form
    14,120.58/19,486.47 = 7,747.78/x
  3. Step 3: Cross multiply
    14,120.58x = 19,486.47 × 7,747.78
  4. Step 4: Simplify right side
    14,120.58x = 150,976,844.61
  5. Step 5: Solve for x
    x = 150,976,844.61/14,120.58
  6. Step 6: Final answer
    x = 10,691.97

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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.