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Finding the Fourth Proportional to 27,207.65, 40,806.85 and 12,413.09

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Solution

The fourth proportional to 27,207.65, 40,806.85 and 12,413.09 is: 18,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,207.65 : 40,806.85 = 12,413.09 : x
  2. Step 2: Convert to fraction form
    27,207.65/40,806.85 = 12,413.09/x
  3. Step 3: Cross multiply
    27,207.65x = 40,806.85 × 12,413.09
  4. Step 4: Simplify right side
    27,207.65x = 506,539,101.67
  5. Step 5: Solve for x
    x = 506,539,101.67/27,207.65
  6. Step 6: Final answer
    x = 18,617.52

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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.