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Finding the Fourth Proportional to 12,584.81, 17,367.05 and 6,919.65

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Solution

The fourth proportional to 12,584.81, 17,367.05 and 6,919.65 is: 9,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.81 : 17,367.05 = 6,919.65 : x
  2. Step 2: Convert to fraction form
    12,584.81/17,367.05 = 6,919.65/x
  3. Step 3: Cross multiply
    12,584.81x = 17,367.05 × 6,919.65
  4. Step 4: Simplify right side
    12,584.81x = 120,173,907.53
  5. Step 5: Solve for x
    x = 120,173,907.53/12,584.81
  6. Step 6: Final answer
    x = 9,549.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.