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Finding the Fourth Proportional to 15,101.92, 20,842.31 and 8,642.16

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Solution

The fourth proportional to 15,101.92, 20,842.31 and 8,642.16 is: 11,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.92 : 20,842.31 = 8,642.16 : x
  2. Step 2: Convert to fraction form
    15,101.92/20,842.31 = 8,642.16/x
  3. Step 3: Cross multiply
    15,101.92x = 20,842.31 × 8,642.16
  4. Step 4: Simplify right side
    15,101.92x = 180,122,456.42
  5. Step 5: Solve for x
    x = 180,122,456.42/15,101.92
  6. Step 6: Final answer
    x = 11,927.12

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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.