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Finding the Fourth Proportional to 24,298.66, 36,456.09 and 8,717.50

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Solution

The fourth proportional to 24,298.66, 36,456.09 and 8,717.50 is: 13,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.66 : 36,456.09 = 8,717.50 : x
  2. Step 2: Convert to fraction form
    24,298.66/36,456.09 = 8,717.50/x
  3. Step 3: Cross multiply
    24,298.66x = 36,456.09 × 8,717.50
  4. Step 4: Simplify right side
    24,298.66x = 317,805,964.58
  5. Step 5: Solve for x
    x = 317,805,964.58/24,298.66
  6. Step 6: Final answer
    x = 13,079.16

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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.