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Finding the Fourth Proportional to 17,922.16, 24,731.18 and 9,963.90

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Solution

The fourth proportional to 17,922.16, 24,731.18 and 9,963.90 is: 13,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.16 : 24,731.18 = 9,963.90 : x
  2. Step 2: Convert to fraction form
    17,922.16/24,731.18 = 9,963.90/x
  3. Step 3: Cross multiply
    17,922.16x = 24,731.18 × 9,963.90
  4. Step 4: Simplify right side
    17,922.16x = 246,419,004.40
  5. Step 5: Solve for x
    x = 246,419,004.40/17,922.16
  6. Step 6: Final answer
    x = 13,749.40

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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.