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Finding the Fourth Proportional to 23,304, 32,150.40 and 15,350.40

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Solution

The fourth proportional to 23,304, 32,150.40 and 15,350.40 is: 21,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,304 : 32,150.40 = 15,350.40 : x
  2. Step 2: Convert to fraction form
    23,304/32,150.40 = 15,350.40/x
  3. Step 3: Cross multiply
    23,304x = 32,150.40 × 15,350.40
  4. Step 4: Simplify right side
    23,304x = 493,521,500.16
  5. Step 5: Solve for x
    x = 493,521,500.16/23,304
  6. Step 6: Final answer
    x = 21,177.54

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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.