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Finding the Fourth Proportional to 23,486.96, 32,413.31 and 13,932.50

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Solution

The fourth proportional to 23,486.96, 32,413.31 and 13,932.50 is: 19,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.96 : 32,413.31 = 13,932.50 : x
  2. Step 2: Convert to fraction form
    23,486.96/32,413.31 = 13,932.50/x
  3. Step 3: Cross multiply
    23,486.96x = 32,413.31 × 13,932.50
  4. Step 4: Simplify right side
    23,486.96x = 451,598,314.34
  5. Step 5: Solve for x
    x = 451,598,314.34/23,486.96
  6. Step 6: Final answer
    x = 19,227.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.