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Finding the Fourth Proportional to 16,473.27, 22,731.57 and 9,758.91

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Solution

The fourth proportional to 16,473.27, 22,731.57 and 9,758.91 is: 13,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.27 : 22,731.57 = 9,758.91 : x
  2. Step 2: Convert to fraction form
    16,473.27/22,731.57 = 9,758.91/x
  3. Step 3: Cross multiply
    16,473.27x = 22,731.57 × 9,758.91
  4. Step 4: Simplify right side
    16,473.27x = 221,835,345.79
  5. Step 5: Solve for x
    x = 221,835,345.79/16,473.27
  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.