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Finding the Fourth Proportional to 24,858.56, 37,278.12 and 9,267.68

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Solution

The fourth proportional to 24,858.56, 37,278.12 and 9,267.68 is: 13,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.56 : 37,278.12 = 9,267.68 : x
  2. Step 2: Convert to fraction form
    24,858.56/37,278.12 = 9,267.68/x
  3. Step 3: Cross multiply
    24,858.56x = 37,278.12 × 9,267.68
  4. Step 4: Simplify right side
    24,858.56x = 345,481,687.16
  5. Step 5: Solve for x
    x = 345,481,687.16/24,858.56
  6. Step 6: Final answer
    x = 13,897.90

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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.