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Finding the Fourth Proportional to 23,204.74, 34,807.08 and 8,413.64

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Solution

The fourth proportional to 23,204.74, 34,807.08 and 8,413.64 is: 12,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.74 : 34,807.08 = 8,413.64 : x
  2. Step 2: Convert to fraction form
    23,204.74/34,807.08 = 8,413.64/x
  3. Step 3: Cross multiply
    23,204.74x = 34,807.08 × 8,413.64
  4. Step 4: Simplify right side
    23,204.74x = 292,854,240.57
  5. Step 5: Solve for x
    x = 292,854,240.57/23,204.74
  6. Step 6: Final answer
    x = 12,620.45

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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.