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Finding the Fourth Proportional to 23,176.14, 34,745.76 and 10,019.22

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Solution

The fourth proportional to 23,176.14, 34,745.76 and 10,019.22 is: 15,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.14 : 34,745.76 = 10,019.22 : x
  2. Step 2: Convert to fraction form
    23,176.14/34,745.76 = 10,019.22/x
  3. Step 3: Cross multiply
    23,176.14x = 34,745.76 × 10,019.22
  4. Step 4: Simplify right side
    23,176.14x = 348,125,413.51
  5. Step 5: Solve for x
    x = 348,125,413.51/23,176.14
  6. Step 6: Final answer
    x = 15,020.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.