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Finding the Fourth Proportional to 21,986.20, 32,983.98 and 6,402.52

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Solution

The fourth proportional to 21,986.20, 32,983.98 and 6,402.52 is: 9,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.20 : 32,983.98 = 6,402.52 : x
  2. Step 2: Convert to fraction form
    21,986.20/32,983.98 = 6,402.52/x
  3. Step 3: Cross multiply
    21,986.20x = 32,983.98 × 6,402.52
  4. Step 4: Simplify right side
    21,986.20x = 211,180,591.63
  5. Step 5: Solve for x
    x = 211,180,591.63/21,986.20
  6. Step 6: Final answer
    x = 9,605.14

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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.