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Finding the Fourth Proportional to 13,738.08, 20,575.08 and 10,031.12

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Solution

The fourth proportional to 13,738.08, 20,575.08 and 10,031.12 is: 15,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.08 : 20,575.08 = 10,031.12 : x
  2. Step 2: Convert to fraction form
    13,738.08/20,575.08 = 10,031.12/x
  3. Step 3: Cross multiply
    13,738.08x = 20,575.08 × 10,031.12
  4. Step 4: Simplify right side
    13,738.08x = 206,391,070.77
  5. Step 5: Solve for x
    x = 206,391,070.77/13,738.08
  6. Step 6: Final answer
    x = 15,023.28

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1.5x scale

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.