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Finding the Fourth Proportional to 12,782.13, 19,163.55 and 8,610.42

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Solution

The fourth proportional to 12,782.13, 19,163.55 and 8,610.42 is: 12,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.13 : 19,163.55 = 8,610.42 : x
  2. Step 2: Convert to fraction form
    12,782.13/19,163.55 = 8,610.42/x
  3. Step 3: Cross multiply
    12,782.13x = 19,163.55 × 8,610.42
  4. Step 4: Simplify right side
    12,782.13x = 165,006,214.19
  5. Step 5: Solve for x
    x = 165,006,214.19/12,782.13
  6. Step 6: Final answer
    x = 12,909.13

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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.