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Finding the Fourth Proportional to 18,196.16, 27,267.84 and 9,869.12

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Solution

The fourth proportional to 18,196.16, 27,267.84 and 9,869.12 is: 14,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196.16 : 27,267.84 = 9,869.12 : x
  2. Step 2: Convert to fraction form
    18,196.16/27,267.84 = 9,869.12/x
  3. Step 3: Cross multiply
    18,196.16x = 27,267.84 × 9,869.12
  4. Step 4: Simplify right side
    18,196.16x = 269,109,585.10
  5. Step 5: Solve for x
    x = 269,109,585.10/18,196.16
  6. Step 6: Final answer
    x = 14,789.36

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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.