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Finding the Fourth Proportional to 22,294.06, 33,442.90 and 9,146.54

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Solution

The fourth proportional to 22,294.06, 33,442.90 and 9,146.54 is: 13,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294.06 : 33,442.90 = 9,146.54 : x
  2. Step 2: Convert to fraction form
    22,294.06/33,442.90 = 9,146.54/x
  3. Step 3: Cross multiply
    22,294.06x = 33,442.90 × 9,146.54
  4. Step 4: Simplify right side
    22,294.06x = 305,886,822.57
  5. Step 5: Solve for x
    x = 305,886,822.57/22,294.06
  6. Step 6: Final answer
    x = 13,720.55

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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.