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Finding the Fourth Proportional to 19,589.80, 29,389.02 and 6,441.64

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Solution

The fourth proportional to 19,589.80, 29,389.02 and 6,441.64 is: 9,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.80 : 29,389.02 = 6,441.64 : x
  2. Step 2: Convert to fraction form
    19,589.80/29,389.02 = 6,441.64/x
  3. Step 3: Cross multiply
    19,589.80x = 29,389.02 × 6,441.64
  4. Step 4: Simplify right side
    19,589.80x = 189,313,486.79
  5. Step 5: Solve for x
    x = 189,313,486.79/19,589.80
  6. Step 6: Final answer
    x = 9,663.88

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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.