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Finding the Fourth Proportional to 12,366, 17,064.72 and 7,261.44

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Solution

The fourth proportional to 12,366, 17,064.72 and 7,261.44 is: 10,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366 : 17,064.72 = 7,261.44 : x
  2. Step 2: Convert to fraction form
    12,366/17,064.72 = 7,261.44/x
  3. Step 3: Cross multiply
    12,366x = 17,064.72 × 7,261.44
  4. Step 4: Simplify right side
    12,366x = 123,914,440.40
  5. Step 5: Solve for x
    x = 123,914,440.40/12,366
  6. Step 6: Final answer
    x = 10,020.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.