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Finding the Fourth Proportional to 23,486.34, 32,413.20 and 12,878

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Solution

The fourth proportional to 23,486.34, 32,413.20 and 12,878 is: 17,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.34 : 32,413.20 = 12,878 : x
  2. Step 2: Convert to fraction form
    23,486.34/32,413.20 = 12,878/x
  3. Step 3: Cross multiply
    23,486.34x = 32,413.20 × 12,878
  4. Step 4: Simplify right side
    23,486.34x = 417,417,189.60
  5. Step 5: Solve for x
    x = 417,417,189.60/23,486.34
  6. Step 6: Final answer
    x = 17,772.76

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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.