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Finding the Fourth Proportional to 14,422.86, 19,902.98 and 8,049.14

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Solution

The fourth proportional to 14,422.86, 19,902.98 and 8,049.14 is: 11,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.86 : 19,902.98 = 8,049.14 : x
  2. Step 2: Convert to fraction form
    14,422.86/19,902.98 = 8,049.14/x
  3. Step 3: Cross multiply
    14,422.86x = 19,902.98 × 8,049.14
  4. Step 4: Simplify right side
    14,422.86x = 160,201,867.68
  5. Step 5: Solve for x
    x = 160,201,867.68/14,422.86
  6. Step 6: Final answer
    x = 11,107.50

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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.