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Finding the Fourth Proportional to 27,957.16, 38,581.20 and 15,382

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Solution

The fourth proportional to 27,957.16, 38,581.20 and 15,382 is: 21,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.16 : 38,581.20 = 15,382 : x
  2. Step 2: Convert to fraction form
    27,957.16/38,581.20 = 15,382/x
  3. Step 3: Cross multiply
    27,957.16x = 38,581.20 × 15,382
  4. Step 4: Simplify right side
    27,957.16x = 593,456,018.40
  5. Step 5: Solve for x
    x = 593,456,018.40/27,957.16
  6. Step 6: Final answer
    x = 21,227.34

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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.