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Finding the Fourth Proportional to 19,869.68, 27,420 and 11,486

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Solution

The fourth proportional to 19,869.68, 27,420 and 11,486 is: 15,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.68 : 27,420 = 11,486 : x
  2. Step 2: Convert to fraction form
    19,869.68/27,420 = 11,486/x
  3. Step 3: Cross multiply
    19,869.68x = 27,420 × 11,486
  4. Step 4: Simplify right side
    19,869.68x = 314,946,120
  5. Step 5: Solve for x
    x = 314,946,120/19,869.68
  6. Step 6: Final answer
    x = 15,850.59

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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.