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Finding the Fourth Proportional to 27,840.71, 38,419.72 and 15,741

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Solution

The fourth proportional to 27,840.71, 38,419.72 and 15,741 is: 21,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.71 : 38,419.72 = 15,741 : x
  2. Step 2: Convert to fraction form
    27,840.71/38,419.72 = 15,741/x
  3. Step 3: Cross multiply
    27,840.71x = 38,419.72 × 15,741
  4. Step 4: Simplify right side
    27,840.71x = 604,764,773.17
  5. Step 5: Solve for x
    x = 604,764,773.17/27,840.71
  6. Step 6: Final answer
    x = 21,722.32

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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.