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Finding the Fourth Proportional to 16,924.38, 23,355.66 and 9,472.38

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Solution

The fourth proportional to 16,924.38, 23,355.66 and 9,472.38 is: 13,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,924.38 : 23,355.66 = 9,472.38 : x
  2. Step 2: Convert to fraction form
    16,924.38/23,355.66 = 9,472.38/x
  3. Step 3: Cross multiply
    16,924.38x = 23,355.66 × 9,472.38
  4. Step 4: Simplify right side
    16,924.38x = 221,233,686.67
  5. Step 5: Solve for x
    x = 221,233,686.67/16,924.38
  6. Step 6: Final answer
    x = 13,071.89

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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.