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Finding the Fourth Proportional to 15,413.15, 23,106.36 and 7,504.68

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Solution

The fourth proportional to 15,413.15, 23,106.36 and 7,504.68 is: 11,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.15 : 23,106.36 = 7,504.68 : x
  2. Step 2: Convert to fraction form
    15,413.15/23,106.36 = 7,504.68/x
  3. Step 3: Cross multiply
    15,413.15x = 23,106.36 × 7,504.68
  4. Step 4: Simplify right side
    15,413.15x = 173,405,952.56
  5. Step 5: Solve for x
    x = 173,405,952.56/15,413.15
  6. Step 6: Final answer
    x = 11,250.52

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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.