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Finding the Fourth Proportional to 22,965.98, 34,416.90 and 12,413.26

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Solution

The fourth proportional to 22,965.98, 34,416.90 and 12,413.26 is: 18,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.98 : 34,416.90 = 12,413.26 : x
  2. Step 2: Convert to fraction form
    22,965.98/34,416.90 = 12,413.26/x
  3. Step 3: Cross multiply
    22,965.98x = 34,416.90 × 12,413.26
  4. Step 4: Simplify right side
    22,965.98x = 427,225,842.05
  5. Step 5: Solve for x
    x = 427,225,842.05/22,965.98
  6. Step 6: Final answer
    x = 18,602.55

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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.