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Finding the Fourth Proportional to 17,683.38, 26,514 and 9,358.20

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Solution

The fourth proportional to 17,683.38, 26,514 and 9,358.20 is: 14,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.38 : 26,514 = 9,358.20 : x
  2. Step 2: Convert to fraction form
    17,683.38/26,514 = 9,358.20/x
  3. Step 3: Cross multiply
    17,683.38x = 26,514 × 9,358.20
  4. Step 4: Simplify right side
    17,683.38x = 248,123,314.80
  5. Step 5: Solve for x
    x = 248,123,314.80/17,683.38
  6. Step 6: Final answer
    x = 14,031.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.