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Finding the Fourth Proportional to 12,488.69, 17,234.18 and 6,823.31

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Solution

The fourth proportional to 12,488.69, 17,234.18 and 6,823.31 is: 9,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.69 : 17,234.18 = 6,823.31 : x
  2. Step 2: Convert to fraction form
    12,488.69/17,234.18 = 6,823.31/x
  3. Step 3: Cross multiply
    12,488.69x = 17,234.18 × 6,823.31
  4. Step 4: Simplify right side
    12,488.69x = 117,594,208.65
  5. Step 5: Solve for x
    x = 117,594,208.65/12,488.69
  6. Step 6: Final answer
    x = 9,416.06

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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.