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Finding the Fourth Proportional to 27,891.92, 38,491 and 15,955.76

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Solution

The fourth proportional to 27,891.92, 38,491 and 15,955.76 is: 22,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.92 : 38,491 = 15,955.76 : x
  2. Step 2: Convert to fraction form
    27,891.92/38,491 = 15,955.76/x
  3. Step 3: Cross multiply
    27,891.92x = 38,491 × 15,955.76
  4. Step 4: Simplify right side
    27,891.92x = 614,153,158.16
  5. Step 5: Solve for x
    x = 614,153,158.16/27,891.92
  6. Step 6: Final answer
    x = 22,019.03

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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.