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Finding the Fourth Proportional to 16,371.39, 22,595.22 and 9,658.66

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Solution

The fourth proportional to 16,371.39, 22,595.22 and 9,658.66 is: 13,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.39 : 22,595.22 = 9,658.66 : x
  2. Step 2: Convert to fraction form
    16,371.39/22,595.22 = 9,658.66/x
  3. Step 3: Cross multiply
    16,371.39x = 22,595.22 × 9,658.66
  4. Step 4: Simplify right side
    16,371.39x = 218,239,434.63
  5. Step 5: Solve for x
    x = 218,239,434.63/16,371.39
  6. Step 6: Final answer
    x = 13,330.54

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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.