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Finding the Fourth Proportional to 16,473.28, 22,731.56 and 9,758.92

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Solution

The fourth proportional to 16,473.28, 22,731.56 and 9,758.92 is: 13,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.28 : 22,731.56 = 9,758.92 : x
  2. Step 2: Convert to fraction form
    16,473.28/22,731.56 = 9,758.92/x
  3. Step 3: Cross multiply
    16,473.28x = 22,731.56 × 9,758.92
  4. Step 4: Simplify right side
    16,473.28x = 221,835,475.52
  5. Step 5: Solve for x
    x = 221,835,475.52/16,473.28
  6. Step 6: Final answer
    x = 13,466.38

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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.