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Finding the Fourth Proportional to 12,987.65, 19,469.15 and 4,216.43

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Solution

The fourth proportional to 12,987.65, 19,469.15 and 4,216.43 is: 6,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.65 : 19,469.15 = 4,216.43 : x
  2. Step 2: Convert to fraction form
    12,987.65/19,469.15 = 4,216.43/x
  3. Step 3: Cross multiply
    12,987.65x = 19,469.15 × 4,216.43
  4. Step 4: Simplify right side
    12,987.65x = 82,090,287.05
  5. Step 5: Solve for x
    x = 82,090,287.05/12,987.65
  6. Step 6: Final answer
    x = 6,320.64

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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.