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Finding the Fourth Proportional to 19,666.26, 29,488.46 and 6,511.46

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Solution

The fourth proportional to 19,666.26, 29,488.46 and 6,511.46 is: 9,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.26 : 29,488.46 = 6,511.46 : x
  2. Step 2: Convert to fraction form
    19,666.26/29,488.46 = 6,511.46/x
  3. Step 3: Cross multiply
    19,666.26x = 29,488.46 × 6,511.46
  4. Step 4: Simplify right side
    19,666.26x = 192,012,747.75
  5. Step 5: Solve for x
    x = 192,012,747.75/19,666.26
  6. Step 6: Final answer
    x = 9,763.56

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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.