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Finding the Fourth Proportional to 22,827.76, 34,251.54 and 8,047.24

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Solution

The fourth proportional to 22,827.76, 34,251.54 and 8,047.24 is: 12,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.76 : 34,251.54 = 8,047.24 : x
  2. Step 2: Convert to fraction form
    22,827.76/34,251.54 = 8,047.24/x
  3. Step 3: Cross multiply
    22,827.76x = 34,251.54 × 8,047.24
  4. Step 4: Simplify right side
    22,827.76x = 275,630,362.75
  5. Step 5: Solve for x
    x = 275,630,362.75/22,827.76
  6. Step 6: Final answer
    x = 12,074.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.