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Finding the Fourth Proportional to 24,854.70, 37,277.19 and 7,319.82

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Solution

The fourth proportional to 24,854.70, 37,277.19 and 7,319.82 is: 10,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.70 : 37,277.19 = 7,319.82 : x
  2. Step 2: Convert to fraction form
    24,854.70/37,277.19 = 7,319.82/x
  3. Step 3: Cross multiply
    24,854.70x = 37,277.19 × 7,319.82
  4. Step 4: Simplify right side
    24,854.70x = 272,862,320.91
  5. Step 5: Solve for x
    x = 272,862,320.91/24,854.70
  6. Step 6: Final answer
    x = 10,978.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.