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Finding the Fourth Proportional to 12,860.42, 19,292.78 and 4,098.02

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Solution

The fourth proportional to 12,860.42, 19,292.78 and 4,098.02 is: 6,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.42 : 19,292.78 = 4,098.02 : x
  2. Step 2: Convert to fraction form
    12,860.42/19,292.78 = 4,098.02/x
  3. Step 3: Cross multiply
    12,860.42x = 19,292.78 × 4,098.02
  4. Step 4: Simplify right side
    12,860.42x = 79,062,198.30
  5. Step 5: Solve for x
    x = 79,062,198.30/12,860.42
  6. Step 6: Final answer
    x = 6,147.72

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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.