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Finding the Fourth Proportional to 19,729.40, 29,579.52 and 9,329

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Solution

The fourth proportional to 19,729.40, 29,579.52 and 9,329 is: 13,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.40 : 29,579.52 = 9,329 : x
  2. Step 2: Convert to fraction form
    19,729.40/29,579.52 = 9,329/x
  3. Step 3: Cross multiply
    19,729.40x = 29,579.52 × 9,329
  4. Step 4: Simplify right side
    19,729.40x = 275,947,342.08
  5. Step 5: Solve for x
    x = 275,947,342.08/19,729.40
  6. Step 6: Final answer
    x = 13,986.61

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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.