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Finding the Fourth Proportional to 19,446.89, 29,182.14 and 7,759.13

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Solution

The fourth proportional to 19,446.89, 29,182.14 and 7,759.13 is: 11,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446.89 : 29,182.14 = 7,759.13 : x
  2. Step 2: Convert to fraction form
    19,446.89/29,182.14 = 7,759.13/x
  3. Step 3: Cross multiply
    19,446.89x = 29,182.14 × 7,759.13
  4. Step 4: Simplify right side
    19,446.89x = 226,427,872.03
  5. Step 5: Solve for x
    x = 226,427,872.03/19,446.89
  6. Step 6: Final answer
    x = 11,643.40

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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.