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Finding the Fourth Proportional to 19,658.85, 29,491.17 and 6,508.29

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Solution

The fourth proportional to 19,658.85, 29,491.17 and 6,508.29 is: 9,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.85 : 29,491.17 = 6,508.29 : x
  2. Step 2: Convert to fraction form
    19,658.85/29,491.17 = 6,508.29/x
  3. Step 3: Cross multiply
    19,658.85x = 29,491.17 × 6,508.29
  4. Step 4: Simplify right side
    19,658.85x = 191,937,086.80
  5. Step 5: Solve for x
    x = 191,937,086.80/19,658.85
  6. Step 6: Final answer
    x = 9,763.39

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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.