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Finding the Fourth Proportional to 26,191.65, 39,291.14 and 8,416.34

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Solution

The fourth proportional to 26,191.65, 39,291.14 and 8,416.34 is: 12,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,191.65 : 39,291.14 = 8,416.34 : x
  2. Step 2: Convert to fraction form
    26,191.65/39,291.14 = 8,416.34/x
  3. Step 3: Cross multiply
    26,191.65x = 39,291.14 × 8,416.34
  4. Step 4: Simplify right side
    26,191.65x = 330,687,396.77
  5. Step 5: Solve for x
    x = 330,687,396.77/26,191.65
  6. Step 6: Final answer
    x = 12,625.68

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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.