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Finding the Fourth Proportional to 12,221.04, 18,331.56 and 5,295

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Solution

The fourth proportional to 12,221.04, 18,331.56 and 5,295 is: 7,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.04 : 18,331.56 = 5,295 : x
  2. Step 2: Convert to fraction form
    12,221.04/18,331.56 = 5,295/x
  3. Step 3: Cross multiply
    12,221.04x = 18,331.56 × 5,295
  4. Step 4: Simplify right side
    12,221.04x = 97,065,610.20
  5. Step 5: Solve for x
    x = 97,065,610.20/12,221.04
  6. Step 6: Final answer
    x = 7,942.50

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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.