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Finding the Fourth Proportional to 26,014, 39,031.26 and 13,526.20

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Solution

The fourth proportional to 26,014, 39,031.26 and 13,526.20 is: 20,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014 : 39,031.26 = 13,526.20 : x
  2. Step 2: Convert to fraction form
    26,014/39,031.26 = 13,526.20/x
  3. Step 3: Cross multiply
    26,014x = 39,031.26 × 13,526.20
  4. Step 4: Simplify right side
    26,014x = 527,944,629.01
  5. Step 5: Solve for x
    x = 527,944,629.01/26,014
  6. Step 6: Final answer
    x = 20,294.63

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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.