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Finding the Fourth Proportional to 12,862.62, 19,294.74 and 4,097.88

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Solution

The fourth proportional to 12,862.62, 19,294.74 and 4,097.88 is: 6,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.62 : 19,294.74 = 4,097.88 : x
  2. Step 2: Convert to fraction form
    12,862.62/19,294.74 = 4,097.88/x
  3. Step 3: Cross multiply
    12,862.62x = 19,294.74 × 4,097.88
  4. Step 4: Simplify right side
    12,862.62x = 79,067,529.15
  5. Step 5: Solve for x
    x = 79,067,529.15/12,862.62
  6. Step 6: Final answer
    x = 6,147.08

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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.