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Finding the Fourth Proportional to 24,201.62, 36,304.67 and 9,411.65

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Solution

The fourth proportional to 24,201.62, 36,304.67 and 9,411.65 is: 14,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,201.62 : 36,304.67 = 9,411.65 : x
  2. Step 2: Convert to fraction form
    24,201.62/36,304.67 = 9,411.65/x
  3. Step 3: Cross multiply
    24,201.62x = 36,304.67 × 9,411.65
  4. Step 4: Simplify right side
    24,201.62x = 341,686,618.82
  5. Step 5: Solve for x
    x = 341,686,618.82/24,201.62
  6. Step 6: Final answer
    x = 14,118.34

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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.