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Finding the Fourth Proportional to 24,974.22, 37,456.94 and 8,332.32

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Solution

The fourth proportional to 24,974.22, 37,456.94 and 8,332.32 is: 12,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974.22 : 37,456.94 = 8,332.32 : x
  2. Step 2: Convert to fraction form
    24,974.22/37,456.94 = 8,332.32/x
  3. Step 3: Cross multiply
    24,974.22x = 37,456.94 × 8,332.32
  4. Step 4: Simplify right side
    24,974.22x = 312,103,210.30
  5. Step 5: Solve for x
    x = 312,103,210.30/24,974.22
  6. Step 6: Final answer
    x = 12,497.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.