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Finding the Fourth Proportional to 27,649.13, 38,143.76 and 17,572.16

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Solution

The fourth proportional to 27,649.13, 38,143.76 and 17,572.16 is: 24,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.13 : 38,143.76 = 17,572.16 : x
  2. Step 2: Convert to fraction form
    27,649.13/38,143.76 = 17,572.16/x
  3. Step 3: Cross multiply
    27,649.13x = 38,143.76 × 17,572.16
  4. Step 4: Simplify right side
    27,649.13x = 670,268,261.22
  5. Step 5: Solve for x
    x = 670,268,261.22/27,649.13
  6. Step 6: Final answer
    x = 24,241.93

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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.