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Finding the Fourth Proportional to 19,589.85, 29,391.93 and 6,442.20

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Solution

The fourth proportional to 19,589.85, 29,391.93 and 6,442.20 is: 9,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.85 : 29,391.93 = 6,442.20 : x
  2. Step 2: Convert to fraction form
    19,589.85/29,391.93 = 6,442.20/x
  3. Step 3: Cross multiply
    19,589.85x = 29,391.93 × 6,442.20
  4. Step 4: Simplify right side
    19,589.85x = 189,348,691.45
  5. Step 5: Solve for x
    x = 189,348,691.45/19,589.85
  6. Step 6: Final answer
    x = 9,665.65

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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.