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Finding the Fourth Proportional to 24,413.40, 36,618.53 and 7,785.41

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Solution

The fourth proportional to 24,413.40, 36,618.53 and 7,785.41 is: 11,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.40 : 36,618.53 = 7,785.41 : x
  2. Step 2: Convert to fraction form
    24,413.40/36,618.53 = 7,785.41/x
  3. Step 3: Cross multiply
    24,413.40x = 36,618.53 × 7,785.41
  4. Step 4: Simplify right side
    24,413.40x = 285,090,047.63
  5. Step 5: Solve for x
    x = 285,090,047.63/24,413.40
  6. Step 6: Final answer
    x = 11,677.61

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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.