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Finding the Fourth Proportional to 18,209.52, 27,314.28 and 10,412.88

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Solution

The fourth proportional to 18,209.52, 27,314.28 and 10,412.88 is: 15,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.52 : 27,314.28 = 10,412.88 : x
  2. Step 2: Convert to fraction form
    18,209.52/27,314.28 = 10,412.88/x
  3. Step 3: Cross multiply
    18,209.52x = 27,314.28 × 10,412.88
  4. Step 4: Simplify right side
    18,209.52x = 284,420,319.93
  5. Step 5: Solve for x
    x = 284,420,319.93/18,209.52
  6. Step 6: Final answer
    x = 15,619.32

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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.