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Finding the Fourth Proportional to 19,906.69, 29,866.52 and 9,519.25

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Solution

The fourth proportional to 19,906.69, 29,866.52 and 9,519.25 is: 14,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.69 : 29,866.52 = 9,519.25 : x
  2. Step 2: Convert to fraction form
    19,906.69/29,866.52 = 9,519.25/x
  3. Step 3: Cross multiply
    19,906.69x = 29,866.52 × 9,519.25
  4. Step 4: Simplify right side
    19,906.69x = 284,306,870.51
  5. Step 5: Solve for x
    x = 284,306,870.51/19,906.69
  6. Step 6: Final answer
    x = 14,281.98

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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.