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Finding the Fourth Proportional to 23,232.70, 34,844.19 and 7,641.82

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Solution

The fourth proportional to 23,232.70, 34,844.19 and 7,641.82 is: 11,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.70 : 34,844.19 = 7,641.82 : x
  2. Step 2: Convert to fraction form
    23,232.70/34,844.19 = 7,641.82/x
  3. Step 3: Cross multiply
    23,232.70x = 34,844.19 × 7,641.82
  4. Step 4: Simplify right side
    23,232.70x = 266,273,028.03
  5. Step 5: Solve for x
    x = 266,273,028.03/23,232.70
  6. Step 6: Final answer
    x = 11,461.13

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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.