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Finding the Fourth Proportional to 15,353.31, 23,000.32 and 11,413.87

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Solution

The fourth proportional to 15,353.31, 23,000.32 and 11,413.87 is: 17,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,353.31 : 23,000.32 = 11,413.87 : x
  2. Step 2: Convert to fraction form
    15,353.31/23,000.32 = 11,413.87/x
  3. Step 3: Cross multiply
    15,353.31x = 23,000.32 × 11,413.87
  4. Step 4: Simplify right side
    15,353.31x = 262,522,662.44
  5. Step 5: Solve for x
    x = 262,522,662.44/15,353.31
  6. Step 6: Final answer
    x = 17,098.77

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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.