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Finding the Fourth Proportional to 15,607.50, 23,413.77 and 5,221.68

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Solution

The fourth proportional to 15,607.50, 23,413.77 and 5,221.68 is: 7,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607.50 : 23,413.77 = 5,221.68 : x
  2. Step 2: Convert to fraction form
    15,607.50/23,413.77 = 5,221.68/x
  3. Step 3: Cross multiply
    15,607.50x = 23,413.77 × 5,221.68
  4. Step 4: Simplify right side
    15,607.50x = 122,259,214.53
  5. Step 5: Solve for x
    x = 122,259,214.53/15,607.50
  6. Step 6: Final answer
    x = 7,833.36

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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.