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Finding the Fourth Proportional to 24,413.48, 36,595.08 and 9,616.40

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Solution

The fourth proportional to 24,413.48, 36,595.08 and 9,616.40 is: 14,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.48 : 36,595.08 = 9,616.40 : x
  2. Step 2: Convert to fraction form
    24,413.48/36,595.08 = 9,616.40/x
  3. Step 3: Cross multiply
    24,413.48x = 36,595.08 × 9,616.40
  4. Step 4: Simplify right side
    24,413.48x = 351,912,927.31
  5. Step 5: Solve for x
    x = 351,912,927.31/24,413.48
  6. Step 6: Final answer
    x = 14,414.70

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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.