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Finding the Fourth Proportional to 17,928.74, 24,742.86 and 9,972.38

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Solution

The fourth proportional to 17,928.74, 24,742.86 and 9,972.38 is: 13,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.74 : 24,742.86 = 9,972.38 : x
  2. Step 2: Convert to fraction form
    17,928.74/24,742.86 = 9,972.38/x
  3. Step 3: Cross multiply
    17,928.74x = 24,742.86 × 9,972.38
  4. Step 4: Simplify right side
    17,928.74x = 246,745,202.21
  5. Step 5: Solve for x
    x = 246,745,202.21/17,928.74
  6. Step 6: Final answer
    x = 13,762.55

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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.