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Finding the Fourth Proportional to 23,487.81, 32,413.13 and 12,878.13

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Solution

The fourth proportional to 23,487.81, 32,413.13 and 12,878.13 is: 17,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.81 : 32,413.13 = 12,878.13 : x
  2. Step 2: Convert to fraction form
    23,487.81/32,413.13 = 12,878.13/x
  3. Step 3: Cross multiply
    23,487.81x = 32,413.13 × 12,878.13
  4. Step 4: Simplify right side
    23,487.81x = 417,420,501.85
  5. Step 5: Solve for x
    x = 417,420,501.85/23,487.81
  6. Step 6: Final answer
    x = 17,771.79

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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.