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Finding the Fourth Proportional to 24,231.78, 36,340.65 and 9,437.40

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Solution

The fourth proportional to 24,231.78, 36,340.65 and 9,437.40 is: 14,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.78 : 36,340.65 = 9,437.40 : x
  2. Step 2: Convert to fraction form
    24,231.78/36,340.65 = 9,437.40/x
  3. Step 3: Cross multiply
    24,231.78x = 36,340.65 × 9,437.40
  4. Step 4: Simplify right side
    24,231.78x = 342,961,250.31
  5. Step 5: Solve for x
    x = 342,961,250.31/24,231.78
  6. Step 6: Final answer
    x = 14,153.37

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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.