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Finding the Fourth Proportional to 24,852.38, 37,265.70 and 7,319.90

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Solution

The fourth proportional to 24,852.38, 37,265.70 and 7,319.90 is: 10,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.38 : 37,265.70 = 7,319.90 : x
  2. Step 2: Convert to fraction form
    24,852.38/37,265.70 = 7,319.90/x
  3. Step 3: Cross multiply
    24,852.38x = 37,265.70 × 7,319.90
  4. Step 4: Simplify right side
    24,852.38x = 272,781,197.43
  5. Step 5: Solve for x
    x = 272,781,197.43/24,852.38
  6. Step 6: Final answer
    x = 10,976.06

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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.