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Finding the Fourth Proportional to 15,413.92, 23,143.92 and 9,184.48

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Solution

The fourth proportional to 15,413.92, 23,143.92 and 9,184.48 is: 13,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.92 : 23,143.92 = 9,184.48 : x
  2. Step 2: Convert to fraction form
    15,413.92/23,143.92 = 9,184.48/x
  3. Step 3: Cross multiply
    15,413.92x = 23,143.92 × 9,184.48
  4. Step 4: Simplify right side
    15,413.92x = 212,564,870.36
  5. Step 5: Solve for x
    x = 212,564,870.36/15,413.92
  6. Step 6: Final answer
    x = 13,790.45

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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.