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Finding the Fourth Proportional to 27,920, 38,526.38 and 15,982.64

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Solution

The fourth proportional to 27,920, 38,526.38 and 15,982.64 is: 22,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920 : 38,526.38 = 15,982.64 : x
  2. Step 2: Convert to fraction form
    27,920/38,526.38 = 15,982.64/x
  3. Step 3: Cross multiply
    27,920x = 38,526.38 × 15,982.64
  4. Step 4: Simplify right side
    27,920x = 615,753,262.04
  5. Step 5: Solve for x
    x = 615,753,262.04/27,920
  6. Step 6: Final answer
    x = 22,054.20

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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.