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Finding the Fourth Proportional to 15,178.29, 22,761.97 and 6,413.89

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Solution

The fourth proportional to 15,178.29, 22,761.97 and 6,413.89 is: 9,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.29 : 22,761.97 = 6,413.89 : x
  2. Step 2: Convert to fraction form
    15,178.29/22,761.97 = 6,413.89/x
  3. Step 3: Cross multiply
    15,178.29x = 22,761.97 × 6,413.89
  4. Step 4: Simplify right side
    15,178.29x = 145,992,771.76
  5. Step 5: Solve for x
    x = 145,992,771.76/15,178.29
  6. Step 6: Final answer
    x = 9,618.52

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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.