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Finding the Fourth Proportional to 19,589.78, 29,389.02 and 6,441.62

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Solution

The fourth proportional to 19,589.78, 29,389.02 and 6,441.62 is: 9,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.78 : 29,389.02 = 6,441.62 : x
  2. Step 2: Convert to fraction form
    19,589.78/29,389.02 = 6,441.62/x
  3. Step 3: Cross multiply
    19,589.78x = 29,389.02 × 6,441.62
  4. Step 4: Simplify right side
    19,589.78x = 189,312,899.01
  5. Step 5: Solve for x
    x = 189,312,899.01/19,589.78
  6. Step 6: Final answer
    x = 9,663.86

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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.