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Finding the Fourth Proportional to 13,281.69, 19,919.34 and 3,919.18

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Solution

The fourth proportional to 13,281.69, 19,919.34 and 3,919.18 is: 5,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.69 : 19,919.34 = 3,919.18 : x
  2. Step 2: Convert to fraction form
    13,281.69/19,919.34 = 3,919.18/x
  3. Step 3: Cross multiply
    13,281.69x = 19,919.34 × 3,919.18
  4. Step 4: Simplify right side
    13,281.69x = 78,067,421.49
  5. Step 5: Solve for x
    x = 78,067,421.49/13,281.69
  6. Step 6: Final answer
    x = 5,877.82

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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.