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Finding the Fourth Proportional to 27,957.92, 38,583.53 and 16,023.24

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Solution

The fourth proportional to 27,957.92, 38,583.53 and 16,023.24 is: 22,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.92 : 38,583.53 = 16,023.24 : x
  2. Step 2: Convert to fraction form
    27,957.92/38,583.53 = 16,023.24/x
  3. Step 3: Cross multiply
    27,957.92x = 38,583.53 × 16,023.24
  4. Step 4: Simplify right side
    27,957.92x = 618,233,081.12
  5. Step 5: Solve for x
    x = 618,233,081.12/27,957.92
  6. Step 6: Final answer
    x = 22,112.99

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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.