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Finding the Fourth Proportional to 19,673.88, 29,494.73 and 9,150.46

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Solution

The fourth proportional to 19,673.88, 29,494.73 and 9,150.46 is: 13,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.88 : 29,494.73 = 9,150.46 : x
  2. Step 2: Convert to fraction form
    19,673.88/29,494.73 = 9,150.46/x
  3. Step 3: Cross multiply
    19,673.88x = 29,494.73 × 9,150.46
  4. Step 4: Simplify right side
    19,673.88x = 269,890,153.85
  5. Step 5: Solve for x
    x = 269,890,153.85/19,673.88
  6. Step 6: Final answer
    x = 13,718.20

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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.