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Finding the Fourth Proportional to 24,254.23, 36,365.61 and 9,464.65

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Solution

The fourth proportional to 24,254.23, 36,365.61 and 9,464.65 is: 14,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.23 : 36,365.61 = 9,464.65 : x
  2. Step 2: Convert to fraction form
    24,254.23/36,365.61 = 9,464.65/x
  3. Step 3: Cross multiply
    24,254.23x = 36,365.61 × 9,464.65
  4. Step 4: Simplify right side
    24,254.23x = 344,187,770.69
  5. Step 5: Solve for x
    x = 344,187,770.69/24,254.23
  6. Step 6: Final answer
    x = 14,190.83

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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.