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Finding the Fourth Proportional to 19,883.38, 27,439.12 and 10,931.80

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Solution

The fourth proportional to 19,883.38, 27,439.12 and 10,931.80 is: 15,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.38 : 27,439.12 = 10,931.80 : x
  2. Step 2: Convert to fraction form
    19,883.38/27,439.12 = 10,931.80/x
  3. Step 3: Cross multiply
    19,883.38x = 27,439.12 × 10,931.80
  4. Step 4: Simplify right side
    19,883.38x = 299,958,972.02
  5. Step 5: Solve for x
    x = 299,958,972.02/19,883.38
  6. Step 6: Final answer
    x = 15,085.91

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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.