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Finding the Fourth Proportional to 27,580.60, 38,049.78 and 16,964.20

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Solution

The fourth proportional to 27,580.60, 38,049.78 and 16,964.20 is: 23,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.60 : 38,049.78 = 16,964.20 : x
  2. Step 2: Convert to fraction form
    27,580.60/38,049.78 = 16,964.20/x
  3. Step 3: Cross multiply
    27,580.60x = 38,049.78 × 16,964.20
  4. Step 4: Simplify right side
    27,580.60x = 645,484,077.88
  5. Step 5: Solve for x
    x = 645,484,077.88/27,580.60
  6. Step 6: Final answer
    x = 23,403.55

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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.