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Finding the Fourth Proportional to 13,797.27, 19,040.31 and 7,509.66

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Solution

The fourth proportional to 13,797.27, 19,040.31 and 7,509.66 is: 10,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.27 : 19,040.31 = 7,509.66 : x
  2. Step 2: Convert to fraction form
    13,797.27/19,040.31 = 7,509.66/x
  3. Step 3: Cross multiply
    13,797.27x = 19,040.31 × 7,509.66
  4. Step 4: Simplify right side
    13,797.27x = 142,986,254.39
  5. Step 5: Solve for x
    x = 142,986,254.39/13,797.27
  6. Step 6: Final answer
    x = 10,363.37

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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.