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Finding the Fourth Proportional to 27,649.45, 38,154.95 and 15,713.39

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Solution

The fourth proportional to 27,649.45, 38,154.95 and 15,713.39 is: 21,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.45 : 38,154.95 = 15,713.39 : x
  2. Step 2: Convert to fraction form
    27,649.45/38,154.95 = 15,713.39/x
  3. Step 3: Cross multiply
    27,649.45x = 38,154.95 × 15,713.39
  4. Step 4: Simplify right side
    27,649.45x = 599,543,685.53
  5. Step 5: Solve for x
    x = 599,543,685.53/27,649.45
  6. Step 6: Final answer
    x = 21,683.75

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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.