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Finding the Fourth Proportional to 22,824.37, 34,242.09 and 7,242.13

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Solution

The fourth proportional to 22,824.37, 34,242.09 and 7,242.13 is: 10,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824.37 : 34,242.09 = 7,242.13 : x
  2. Step 2: Convert to fraction form
    22,824.37/34,242.09 = 7,242.13/x
  3. Step 3: Cross multiply
    22,824.37x = 34,242.09 × 7,242.13
  4. Step 4: Simplify right side
    22,824.37x = 247,985,667.25
  5. Step 5: Solve for x
    x = 247,985,667.25/22,824.37
  6. Step 6: Final answer
    x = 10,864.95

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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.