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Finding the Fourth Proportional to 22,724.26, 34,090.98 and 7,138.24

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Solution

The fourth proportional to 22,724.26, 34,090.98 and 7,138.24 is: 10,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.26 : 34,090.98 = 7,138.24 : x
  2. Step 2: Convert to fraction form
    22,724.26/34,090.98 = 7,138.24/x
  3. Step 3: Cross multiply
    22,724.26x = 34,090.98 × 7,138.24
  4. Step 4: Simplify right side
    22,724.26x = 243,349,597.08
  5. Step 5: Solve for x
    x = 243,349,597.08/22,724.26
  6. Step 6: Final answer
    x = 10,708.80

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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.