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Finding the Fourth Proportional to 25,773.76, 38,662.16 and 8,242.22

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Solution

The fourth proportional to 25,773.76, 38,662.16 and 8,242.22 is: 12,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.76 : 38,662.16 = 8,242.22 : x
  2. Step 2: Convert to fraction form
    25,773.76/38,662.16 = 8,242.22/x
  3. Step 3: Cross multiply
    25,773.76x = 38,662.16 × 8,242.22
  4. Step 4: Simplify right side
    25,773.76x = 318,662,028.40
  5. Step 5: Solve for x
    x = 318,662,028.40/25,773.76
  6. Step 6: Final answer
    x = 12,363.82

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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.