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Finding the Fourth Proportional to 21,456.64, 32,177.05 and 7,413.06

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Solution

The fourth proportional to 21,456.64, 32,177.05 and 7,413.06 is: 11,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.64 : 32,177.05 = 7,413.06 : x
  2. Step 2: Convert to fraction form
    21,456.64/32,177.05 = 7,413.06/x
  3. Step 3: Cross multiply
    21,456.64x = 32,177.05 × 7,413.06
  4. Step 4: Simplify right side
    21,456.64x = 238,530,504.40
  5. Step 5: Solve for x
    x = 238,530,504.40/21,456.64
  6. Step 6: Final answer
    x = 11,116.86

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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.