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Finding the Fourth Proportional to 15,616.53, 23,413.77 and 5,754.51

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Solution

The fourth proportional to 15,616.53, 23,413.77 and 5,754.51 is: 8,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.53 : 23,413.77 = 5,754.51 : x
  2. Step 2: Convert to fraction form
    15,616.53/23,413.77 = 5,754.51/x
  3. Step 3: Cross multiply
    15,616.53x = 23,413.77 × 5,754.51
  4. Step 4: Simplify right side
    15,616.53x = 134,734,773.60
  5. Step 5: Solve for x
    x = 134,734,773.60/15,616.53
  6. Step 6: Final answer
    x = 8,627.70

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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.