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Finding the Fourth Proportional to 23,221.38, 32,047.50 and 13,151.60

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Solution

The fourth proportional to 23,221.38, 32,047.50 and 13,151.60 is: 18,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.38 : 32,047.50 = 13,151.60 : x
  2. Step 2: Convert to fraction form
    23,221.38/32,047.50 = 13,151.60/x
  3. Step 3: Cross multiply
    23,221.38x = 32,047.50 × 13,151.60
  4. Step 4: Simplify right side
    23,221.38x = 421,475,740.76
  5. Step 5: Solve for x
    x = 421,475,740.76/23,221.38
  6. Step 6: Final answer
    x = 18,150.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.