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Finding the Fourth Proportional to 27,671.28, 38,186.01 and 15,095.22

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Solution

The fourth proportional to 27,671.28, 38,186.01 and 15,095.22 is: 20,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.28 : 38,186.01 = 15,095.22 : x
  2. Step 2: Convert to fraction form
    27,671.28/38,186.01 = 15,095.22/x
  3. Step 3: Cross multiply
    27,671.28x = 38,186.01 × 15,095.22
  4. Step 4: Simplify right side
    27,671.28x = 576,426,221.87
  5. Step 5: Solve for x
    x = 576,426,221.87/27,671.28
  6. Step 6: Final answer
    x = 20,831.21

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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.