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Finding the Fourth Proportional to 14,774.52, 20,375.10 and 11,412.30

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Solution

The fourth proportional to 14,774.52, 20,375.10 and 11,412.30 is: 15,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.52 : 20,375.10 = 11,412.30 : x
  2. Step 2: Convert to fraction form
    14,774.52/20,375.10 = 11,412.30/x
  3. Step 3: Cross multiply
    14,774.52x = 20,375.10 × 11,412.30
  4. Step 4: Simplify right side
    14,774.52x = 232,526,753.73
  5. Step 5: Solve for x
    x = 232,526,753.73/14,774.52
  6. Step 6: Final answer
    x = 15,738.36

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1.5x scale

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.