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Finding the Fourth Proportional to 24,057.85, 36,072.88 and 7,413.41

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Solution

The fourth proportional to 24,057.85, 36,072.88 and 7,413.41 is: 11,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.85 : 36,072.88 = 7,413.41 : x
  2. Step 2: Convert to fraction form
    24,057.85/36,072.88 = 7,413.41/x
  3. Step 3: Cross multiply
    24,057.85x = 36,072.88 × 7,413.41
  4. Step 4: Simplify right side
    24,057.85x = 267,423,012.25
  5. Step 5: Solve for x
    x = 267,423,012.25/24,057.85
  6. Step 6: Final answer
    x = 11,115.83

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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.