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Finding the Fourth Proportional to 12,827.66, 19,214.48 and 6,568.65

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Solution

The fourth proportional to 12,827.66, 19,214.48 and 6,568.65 is: 9,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.66 : 19,214.48 = 6,568.65 : x
  2. Step 2: Convert to fraction form
    12,827.66/19,214.48 = 6,568.65/x
  3. Step 3: Cross multiply
    12,827.66x = 19,214.48 × 6,568.65
  4. Step 4: Simplify right side
    12,827.66x = 126,213,161.21
  5. Step 5: Solve for x
    x = 126,213,161.21/12,827.66
  6. Step 6: Final answer
    x = 9,839.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.