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Finding the Fourth Proportional to 18,882.68, 26,057.76 and 10,499

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Solution

The fourth proportional to 18,882.68, 26,057.76 and 10,499 is: 14,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,882.68 : 26,057.76 = 10,499 : x
  2. Step 2: Convert to fraction form
    18,882.68/26,057.76 = 10,499/x
  3. Step 3: Cross multiply
    18,882.68x = 26,057.76 × 10,499
  4. Step 4: Simplify right side
    18,882.68x = 273,580,422.24
  5. Step 5: Solve for x
    x = 273,580,422.24/18,882.68
  6. Step 6: Final answer
    x = 14,488.43

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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.