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Finding the Fourth Proportional to 19,617.69, 29,439.49 and 9,230.25

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Solution

The fourth proportional to 19,617.69, 29,439.49 and 9,230.25 is: 13,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617.69 : 29,439.49 = 9,230.25 : x
  2. Step 2: Convert to fraction form
    19,617.69/29,439.49 = 9,230.25/x
  3. Step 3: Cross multiply
    19,617.69x = 29,439.49 × 9,230.25
  4. Step 4: Simplify right side
    19,617.69x = 271,733,852.57
  5. Step 5: Solve for x
    x = 271,733,852.57/19,617.69
  6. Step 6: Final answer
    x = 13,851.47

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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.