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Finding the Fourth Proportional to 23,487.46, 32,409.18 and 13,413.76

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Solution

The fourth proportional to 23,487.46, 32,409.18 and 13,413.76 is: 18,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.46 : 32,409.18 = 13,413.76 : x
  2. Step 2: Convert to fraction form
    23,487.46/32,409.18 = 13,413.76/x
  3. Step 3: Cross multiply
    23,487.46x = 32,409.18 × 13,413.76
  4. Step 4: Simplify right side
    23,487.46x = 434,728,962.32
  5. Step 5: Solve for x
    x = 434,728,962.32/23,487.46
  6. Step 6: Final answer
    x = 18,508.98

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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.