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Finding the Fourth Proportional to 14,022.78, 19,351.13 and 7,735.16

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Solution

The fourth proportional to 14,022.78, 19,351.13 and 7,735.16 is: 10,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.78 : 19,351.13 = 7,735.16 : x
  2. Step 2: Convert to fraction form
    14,022.78/19,351.13 = 7,735.16/x
  3. Step 3: Cross multiply
    14,022.78x = 19,351.13 × 7,735.16
  4. Step 4: Simplify right side
    14,022.78x = 149,684,086.73
  5. Step 5: Solve for x
    x = 149,684,086.73/14,022.78
  6. Step 6: Final answer
    x = 10,674.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.