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Finding the Fourth Proportional to 24,234.69, 36,345.01 and 9,440.31

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Solution

The fourth proportional to 24,234.69, 36,345.01 and 9,440.31 is: 14,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.69 : 36,345.01 = 9,440.31 : x
  2. Step 2: Convert to fraction form
    24,234.69/36,345.01 = 9,440.31/x
  3. Step 3: Cross multiply
    24,234.69x = 36,345.01 × 9,440.31
  4. Step 4: Simplify right side
    24,234.69x = 343,107,979.63
  5. Step 5: Solve for x
    x = 343,107,979.63/24,234.69
  6. Step 6: Final answer
    x = 14,157.72

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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.