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Finding the Fourth Proportional to 21,384.49, 32,074.67 and 6,589.43

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Solution

The fourth proportional to 21,384.49, 32,074.67 and 6,589.43 is: 9,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.49 : 32,074.67 = 6,589.43 : x
  2. Step 2: Convert to fraction form
    21,384.49/32,074.67 = 6,589.43/x
  3. Step 3: Cross multiply
    21,384.49x = 32,074.67 × 6,589.43
  4. Step 4: Simplify right side
    21,384.49x = 211,353,949.54
  5. Step 5: Solve for x
    x = 211,353,949.54/21,384.49
  6. Step 6: Final answer
    x = 9,883.52

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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.