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Finding the Fourth Proportional to 14,568.12, 20,104.14 and 7,944.12

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Solution

The fourth proportional to 14,568.12, 20,104.14 and 7,944.12 is: 10,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.12 : 20,104.14 = 7,944.12 : x
  2. Step 2: Convert to fraction form
    14,568.12/20,104.14 = 7,944.12/x
  3. Step 3: Cross multiply
    14,568.12x = 20,104.14 × 7,944.12
  4. Step 4: Simplify right side
    14,568.12x = 159,709,700.66
  5. Step 5: Solve for x
    x = 159,709,700.66/14,568.12
  6. Step 6: Final answer
    x = 10,962.96

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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.