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Finding the Fourth Proportional to 27,854.38, 38,444.52 and 15,916.60

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Solution

The fourth proportional to 27,854.38, 38,444.52 and 15,916.60 is: 21,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.38 : 38,444.52 = 15,916.60 : x
  2. Step 2: Convert to fraction form
    27,854.38/38,444.52 = 15,916.60/x
  3. Step 3: Cross multiply
    27,854.38x = 38,444.52 × 15,916.60
  4. Step 4: Simplify right side
    27,854.38x = 611,906,047.03
  5. Step 5: Solve for x
    x = 611,906,047.03/27,854.38
  6. Step 6: Final answer
    x = 21,968.04

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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.