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Finding the Fourth Proportional to 12,569.69, 18,825.82 and 6,000.49

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Solution

The fourth proportional to 12,569.69, 18,825.82 and 6,000.49 is: 8,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.69 : 18,825.82 = 6,000.49 : x
  2. Step 2: Convert to fraction form
    12,569.69/18,825.82 = 6,000.49/x
  3. Step 3: Cross multiply
    12,569.69x = 18,825.82 × 6,000.49
  4. Step 4: Simplify right side
    12,569.69x = 112,964,144.65
  5. Step 5: Solve for x
    x = 112,964,144.65/12,569.69
  6. Step 6: Final answer
    x = 8,987.03

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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.