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Finding the Fourth Proportional to 27,642.53, 38,147.70 and 15,707.87

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Solution

The fourth proportional to 27,642.53, 38,147.70 and 15,707.87 is: 21,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.53 : 38,147.70 = 15,707.87 : x
  2. Step 2: Convert to fraction form
    27,642.53/38,147.70 = 15,707.87/x
  3. Step 3: Cross multiply
    27,642.53x = 38,147.70 × 15,707.87
  4. Step 4: Simplify right side
    27,642.53x = 599,219,112.40
  5. Step 5: Solve for x
    x = 599,219,112.40/27,642.53
  6. Step 6: Final answer
    x = 21,677.43

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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.