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Finding the Fourth Proportional to 15,124.82, 22,656.02 and 8,865.83

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Solution

The fourth proportional to 15,124.82, 22,656.02 and 8,865.83 is: 13,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.82 : 22,656.02 = 8,865.83 : x
  2. Step 2: Convert to fraction form
    15,124.82/22,656.02 = 8,865.83/x
  3. Step 3: Cross multiply
    15,124.82x = 22,656.02 × 8,865.83
  4. Step 4: Simplify right side
    15,124.82x = 200,864,308.52
  5. Step 5: Solve for x
    x = 200,864,308.52/15,124.82
  6. Step 6: Final answer
    x = 13,280.44

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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.