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Finding the Fourth Proportional to 21,598.20, 32,406.71 and 7,568.33

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Solution

The fourth proportional to 21,598.20, 32,406.71 and 7,568.33 is: 11,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.20 : 32,406.71 = 7,568.33 : x
  2. Step 2: Convert to fraction form
    21,598.20/32,406.71 = 7,568.33/x
  3. Step 3: Cross multiply
    21,598.20x = 32,406.71 × 7,568.33
  4. Step 4: Simplify right side
    21,598.20x = 245,264,475.62
  5. Step 5: Solve for x
    x = 245,264,475.62/21,598.20
  6. Step 6: Final answer
    x = 11,355.78

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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.