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Finding the Fourth Proportional to 12,340.17, 18,514.91 and 7,413.26

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Solution

The fourth proportional to 12,340.17, 18,514.91 and 7,413.26 is: 11,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.17 : 18,514.91 = 7,413.26 : x
  2. Step 2: Convert to fraction form
    12,340.17/18,514.91 = 7,413.26/x
  3. Step 3: Cross multiply
    12,340.17x = 18,514.91 × 7,413.26
  4. Step 4: Simplify right side
    12,340.17x = 137,255,712.07
  5. Step 5: Solve for x
    x = 137,255,712.07/12,340.17
  6. Step 6: Final answer
    x = 11,122.68

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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.