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Finding the Fourth Proportional to 26,031.09, 35,931.68 and 15,822.09

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Solution

The fourth proportional to 26,031.09, 35,931.68 and 15,822.09 is: 21,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,031.09 : 35,931.68 = 15,822.09 : x
  2. Step 2: Convert to fraction form
    26,031.09/35,931.68 = 15,822.09/x
  3. Step 3: Cross multiply
    26,031.09x = 35,931.68 × 15,822.09
  4. Step 4: Simplify right side
    26,031.09x = 568,514,195.70
  5. Step 5: Solve for x
    x = 568,514,195.70/26,031.09
  6. Step 6: Final answer
    x = 21,839.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.