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Finding the Fourth Proportional to 13,315.99, 19,954.94 and 9,778.24

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Solution

The fourth proportional to 13,315.99, 19,954.94 and 9,778.24 is: 14,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.99 : 19,954.94 = 9,778.24 : x
  2. Step 2: Convert to fraction form
    13,315.99/19,954.94 = 9,778.24/x
  3. Step 3: Cross multiply
    13,315.99x = 19,954.94 × 9,778.24
  4. Step 4: Simplify right side
    13,315.99x = 195,124,092.73
  5. Step 5: Solve for x
    x = 195,124,092.73/13,315.99
  6. Step 6: Final answer
    x = 14,653.37

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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.