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Finding the Fourth Proportional to 24,461.52, 36,695.34 and 8,662.86

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Solution

The fourth proportional to 24,461.52, 36,695.34 and 8,662.86 is: 12,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.52 : 36,695.34 = 8,662.86 : x
  2. Step 2: Convert to fraction form
    24,461.52/36,695.34 = 8,662.86/x
  3. Step 3: Cross multiply
    24,461.52x = 36,695.34 × 8,662.86
  4. Step 4: Simplify right side
    24,461.52x = 317,886,593.07
  5. Step 5: Solve for x
    x = 317,886,593.07/24,461.52
  6. Step 6: Final answer
    x = 12,995.37

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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.