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Finding the Fourth Proportional to 21,338.76, 32,017.30 and 8,189.48

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Solution

The fourth proportional to 21,338.76, 32,017.30 and 8,189.48 is: 12,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.76 : 32,017.30 = 8,189.48 : x
  2. Step 2: Convert to fraction form
    21,338.76/32,017.30 = 8,189.48/x
  3. Step 3: Cross multiply
    21,338.76x = 32,017.30 × 8,189.48
  4. Step 4: Simplify right side
    21,338.76x = 262,205,038.00
  5. Step 5: Solve for x
    x = 262,205,038.00/21,338.76
  6. Step 6: Final answer
    x = 12,287.74

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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.