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Finding the Fourth Proportional to 14,022.61, 19,351.31 and 7,735.21

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Solution

The fourth proportional to 14,022.61, 19,351.31 and 7,735.21 is: 10,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.61 : 19,351.31 = 7,735.21 : x
  2. Step 2: Convert to fraction form
    14,022.61/19,351.31 = 7,735.21/x
  3. Step 3: Cross multiply
    14,022.61x = 19,351.31 × 7,735.21
  4. Step 4: Simplify right side
    14,022.61x = 149,686,407.95
  5. Step 5: Solve for x
    x = 149,686,407.95/14,022.61
  6. Step 6: Final answer
    x = 10,674.65

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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.