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Finding the Fourth Proportional to 22,906.47, 34,360.74 and 6,266.13

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Solution

The fourth proportional to 22,906.47, 34,360.74 and 6,266.13 is: 9,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.47 : 34,360.74 = 6,266.13 : x
  2. Step 2: Convert to fraction form
    22,906.47/34,360.74 = 6,266.13/x
  3. Step 3: Cross multiply
    22,906.47x = 34,360.74 × 6,266.13
  4. Step 4: Simplify right side
    22,906.47x = 215,308,863.74
  5. Step 5: Solve for x
    x = 215,308,863.74/22,906.47
  6. Step 6: Final answer
    x = 9,399.48

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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.