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Finding the Fourth Proportional to 19,868.92, 27,419.20 and 11,911.14

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Solution

The fourth proportional to 19,868.92, 27,419.20 and 11,911.14 is: 16,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868.92 : 27,419.20 = 11,911.14 : x
  2. Step 2: Convert to fraction form
    19,868.92/27,419.20 = 11,911.14/x
  3. Step 3: Cross multiply
    19,868.92x = 27,419.20 × 11,911.14
  4. Step 4: Simplify right side
    19,868.92x = 326,593,900.11
  5. Step 5: Solve for x
    x = 326,593,900.11/19,868.92
  6. Step 6: Final answer
    x = 16,437.43

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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.