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Finding the Fourth Proportional to 18,098.91, 24,966.48 and 11,382.09

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Solution

The fourth proportional to 18,098.91, 24,966.48 and 11,382.09 is: 15,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.91 : 24,966.48 = 11,382.09 : x
  2. Step 2: Convert to fraction form
    18,098.91/24,966.48 = 11,382.09/x
  3. Step 3: Cross multiply
    18,098.91x = 24,966.48 × 11,382.09
  4. Step 4: Simplify right side
    18,098.91x = 284,170,722.34
  5. Step 5: Solve for x
    x = 284,170,722.34/18,098.91
  6. Step 6: Final answer
    x = 15,700.99

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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.