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Finding the Fourth Proportional to 21,594.60, 32,395.37 and 9,116.47

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Solution

The fourth proportional to 21,594.60, 32,395.37 and 9,116.47 is: 13,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594.60 : 32,395.37 = 9,116.47 : x
  2. Step 2: Convert to fraction form
    21,594.60/32,395.37 = 9,116.47/x
  3. Step 3: Cross multiply
    21,594.60x = 32,395.37 × 9,116.47
  4. Step 4: Simplify right side
    21,594.60x = 295,331,413.66
  5. Step 5: Solve for x
    x = 295,331,413.66/21,594.60
  6. Step 6: Final answer
    x = 13,676.17

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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.