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Finding the Fourth Proportional to 27,820.38, 38,393.79 and 17,066.46

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Solution

The fourth proportional to 27,820.38, 38,393.79 and 17,066.46 is: 23,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.38 : 38,393.79 = 17,066.46 : x
  2. Step 2: Convert to fraction form
    27,820.38/38,393.79 = 17,066.46/x
  3. Step 3: Cross multiply
    27,820.38x = 38,393.79 × 17,066.46
  4. Step 4: Simplify right side
    27,820.38x = 655,246,081.28
  5. Step 5: Solve for x
    x = 655,246,081.28/27,820.38
  6. Step 6: Final answer
    x = 23,552.74

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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.