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Finding the Fourth Proportional to 22,948.22, 34,416.05 and 6,304.29

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Solution

The fourth proportional to 22,948.22, 34,416.05 and 6,304.29 is: 9,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.22 : 34,416.05 = 6,304.29 : x
  2. Step 2: Convert to fraction form
    22,948.22/34,416.05 = 6,304.29/x
  3. Step 3: Cross multiply
    22,948.22x = 34,416.05 × 6,304.29
  4. Step 4: Simplify right side
    22,948.22x = 216,968,728.33
  5. Step 5: Solve for x
    x = 216,968,728.33/22,948.22
  6. Step 6: Final answer
    x = 9,454.71

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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.