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Finding the Fourth Proportional to 22,947.88, 34,427.10 and 7,152.16

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Solution

The fourth proportional to 22,947.88, 34,427.10 and 7,152.16 is: 10,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.88 : 34,427.10 = 7,152.16 : x
  2. Step 2: Convert to fraction form
    22,947.88/34,427.10 = 7,152.16/x
  3. Step 3: Cross multiply
    22,947.88x = 34,427.10 × 7,152.16
  4. Step 4: Simplify right side
    22,947.88x = 246,228,127.54
  5. Step 5: Solve for x
    x = 246,228,127.54/22,947.88
  6. Step 6: Final answer
    x = 10,729.89

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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.