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Finding the Fourth Proportional to 24,761.38, 37,116 and 8,117.08

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Solution

The fourth proportional to 24,761.38, 37,116 and 8,117.08 is: 12,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.38 : 37,116 = 8,117.08 : x
  2. Step 2: Convert to fraction form
    24,761.38/37,116 = 8,117.08/x
  3. Step 3: Cross multiply
    24,761.38x = 37,116 × 8,117.08
  4. Step 4: Simplify right side
    24,761.38x = 301,273,541.28
  5. Step 5: Solve for x
    x = 301,273,541.28/24,761.38
  6. Step 6: Final answer
    x = 12,167.07

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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.