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Finding the Fourth Proportional to 24,852.90, 37,278.14 and 9,269.31

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Solution

The fourth proportional to 24,852.90, 37,278.14 and 9,269.31 is: 13,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.90 : 37,278.14 = 9,269.31 : x
  2. Step 2: Convert to fraction form
    24,852.90/37,278.14 = 9,269.31/x
  3. Step 3: Cross multiply
    24,852.90x = 37,278.14 × 9,269.31
  4. Step 4: Simplify right side
    24,852.90x = 345,542,635.88
  5. Step 5: Solve for x
    x = 345,542,635.88/24,852.90
  6. Step 6: Final answer
    x = 13,903.51

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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.