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Finding the Fourth Proportional to 27,754.92, 38,300.84 and 15,822.10

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Solution

The fourth proportional to 27,754.92, 38,300.84 and 15,822.10 is: 21,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.92 : 38,300.84 = 15,822.10 : x
  2. Step 2: Convert to fraction form
    27,754.92/38,300.84 = 15,822.10/x
  3. Step 3: Cross multiply
    27,754.92x = 38,300.84 × 15,822.10
  4. Step 4: Simplify right side
    27,754.92x = 605,999,497.83
  5. Step 5: Solve for x
    x = 605,999,497.83/27,754.92
  6. Step 6: Final answer
    x = 21,833.95

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1.5x scale

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.