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Finding the Fourth Proportional to 12,815.75, 17,685.34 and 7,514.10

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Solution

The fourth proportional to 12,815.75, 17,685.34 and 7,514.10 is: 10,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.75 : 17,685.34 = 7,514.10 : x
  2. Step 2: Convert to fraction form
    12,815.75/17,685.34 = 7,514.10/x
  3. Step 3: Cross multiply
    12,815.75x = 17,685.34 × 7,514.10
  4. Step 4: Simplify right side
    12,815.75x = 132,889,413.29
  5. Step 5: Solve for x
    x = 132,889,413.29/12,815.75
  6. Step 6: Final answer
    x = 10,369.23

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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.