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Finding the Fourth Proportional to 22,824.87, 34,242.84 and 7,242.63

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Solution

The fourth proportional to 22,824.87, 34,242.84 and 7,242.63 is: 10,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824.87 : 34,242.84 = 7,242.63 : x
  2. Step 2: Convert to fraction form
    22,824.87/34,242.84 = 7,242.63/x
  3. Step 3: Cross multiply
    22,824.87x = 34,242.84 × 7,242.63
  4. Step 4: Simplify right side
    22,824.87x = 248,008,220.27
  5. Step 5: Solve for x
    x = 248,008,220.27/22,824.87
  6. Step 6: Final answer
    x = 10,865.70

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