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Finding the Fourth Proportional to 24,205.70, 36,313.95 and 9,413.30

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Solution

The fourth proportional to 24,205.70, 36,313.95 and 9,413.30 is: 14,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.70 : 36,313.95 = 9,413.30 : x
  2. Step 2: Convert to fraction form
    24,205.70/36,313.95 = 9,413.30/x
  3. Step 3: Cross multiply
    24,205.70x = 36,313.95 × 9,413.30
  4. Step 4: Simplify right side
    24,205.70x = 341,834,105.54
  5. Step 5: Solve for x
    x = 341,834,105.54/24,205.70
  6. Step 6: Final answer
    x = 14,122.05

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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.