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Finding the Fourth Proportional to 24,455.32, 36,660.96 and 8,862

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Solution

The fourth proportional to 24,455.32, 36,660.96 and 8,862 is: 13,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455.32 : 36,660.96 = 8,862 : x
  2. Step 2: Convert to fraction form
    24,455.32/36,660.96 = 8,862/x
  3. Step 3: Cross multiply
    24,455.32x = 36,660.96 × 8,862
  4. Step 4: Simplify right side
    24,455.32x = 324,889,427.52
  5. Step 5: Solve for x
    x = 324,889,427.52/24,455.32
  6. Step 6: Final answer
    x = 13,285.02

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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.