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Finding the Fourth Proportional to 27,920.72, 38,531.76 and 15,982.40

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Solution

The fourth proportional to 27,920.72, 38,531.76 and 15,982.40 is: 22,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.72 : 38,531.76 = 15,982.40 : x
  2. Step 2: Convert to fraction form
    27,920.72/38,531.76 = 15,982.40/x
  3. Step 3: Cross multiply
    27,920.72x = 38,531.76 × 15,982.40
  4. Step 4: Simplify right side
    27,920.72x = 615,830,001.02
  5. Step 5: Solve for x
    x = 615,830,001.02/27,920.72
  6. Step 6: Final answer
    x = 22,056.38

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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.