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Finding the Fourth Proportional to 24,211.74, 36,317.44 and 9,430.99

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Solution

The fourth proportional to 24,211.74, 36,317.44 and 9,430.99 is: 14,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211.74 : 36,317.44 = 9,430.99 : x
  2. Step 2: Convert to fraction form
    24,211.74/36,317.44 = 9,430.99/x
  3. Step 3: Cross multiply
    24,211.74x = 36,317.44 × 9,430.99
  4. Step 4: Simplify right side
    24,211.74x = 342,509,413.47
  5. Step 5: Solve for x
    x = 342,509,413.47/24,211.74
  6. Step 6: Final answer
    x = 14,146.42

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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.