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Finding the Fourth Proportional to 24,239.98, 36,345.10 and 9,431.66

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Solution

The fourth proportional to 24,239.98, 36,345.10 and 9,431.66 is: 14,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,239.98 : 36,345.10 = 9,431.66 : x
  2. Step 2: Convert to fraction form
    24,239.98/36,345.10 = 9,431.66/x
  3. Step 3: Cross multiply
    24,239.98x = 36,345.10 × 9,431.66
  4. Step 4: Simplify right side
    24,239.98x = 342,794,625.87
  5. Step 5: Solve for x
    x = 342,794,625.87/24,239.98
  6. Step 6: Final answer
    x = 14,141.70

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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.