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Finding the Fourth Proportional to 24,413.29, 36,618.36 and 7,785.24

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Solution

The fourth proportional to 24,413.29, 36,618.36 and 7,785.24 is: 11,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.29 : 36,618.36 = 7,785.24 : x
  2. Step 2: Convert to fraction form
    24,413.29/36,618.36 = 7,785.24/x
  3. Step 3: Cross multiply
    24,413.29x = 36,618.36 × 7,785.24
  4. Step 4: Simplify right side
    24,413.29x = 285,082,721.01
  5. Step 5: Solve for x
    x = 285,082,721.01/24,413.29
  6. Step 6: Final answer
    x = 11,677.36

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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.