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Finding the Fourth Proportional to 27,873.56, 38,463 and 16,541.12

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Solution

The fourth proportional to 27,873.56, 38,463 and 16,541.12 is: 22,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.56 : 38,463 = 16,541.12 : x
  2. Step 2: Convert to fraction form
    27,873.56/38,463 = 16,541.12/x
  3. Step 3: Cross multiply
    27,873.56x = 38,463 × 16,541.12
  4. Step 4: Simplify right side
    27,873.56x = 636,221,098.56
  5. Step 5: Solve for x
    x = 636,221,098.56/27,873.56
  6. Step 6: Final answer
    x = 22,825.25

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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.