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Finding the Fourth Proportional to 24,413.14, 36,595.02 and 9,616.30

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Solution

The fourth proportional to 24,413.14, 36,595.02 and 9,616.30 is: 14,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.14 : 36,595.02 = 9,616.30 : x
  2. Step 2: Convert to fraction form
    24,413.14/36,595.02 = 9,616.30/x
  3. Step 3: Cross multiply
    24,413.14x = 36,595.02 × 9,616.30
  4. Step 4: Simplify right side
    24,413.14x = 351,908,690.83
  5. Step 5: Solve for x
    x = 351,908,690.83/24,413.14
  6. Step 6: Final answer
    x = 14,414.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.