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Finding the Fourth Proportional to 23,413.76, 35,109.84 and 7,827.20

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Solution

The fourth proportional to 23,413.76, 35,109.84 and 7,827.20 is: 11,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.76 : 35,109.84 = 7,827.20 : x
  2. Step 2: Convert to fraction form
    23,413.76/35,109.84 = 7,827.20/x
  3. Step 3: Cross multiply
    23,413.76x = 35,109.84 × 7,827.20
  4. Step 4: Simplify right side
    23,413.76x = 274,811,739.65
  5. Step 5: Solve for x
    x = 274,811,739.65/23,413.76
  6. Step 6: Final answer
    x = 11,737.19

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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.