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Finding the Fourth Proportional to 15,745.96, 21,727.81 and 9,695.24

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Solution

The fourth proportional to 15,745.96, 21,727.81 and 9,695.24 is: 13,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.96 : 21,727.81 = 9,695.24 : x
  2. Step 2: Convert to fraction form
    15,745.96/21,727.81 = 9,695.24/x
  3. Step 3: Cross multiply
    15,745.96x = 21,727.81 × 9,695.24
  4. Step 4: Simplify right side
    15,745.96x = 210,656,223.99
  5. Step 5: Solve for x
    x = 210,656,223.99/15,745.96
  6. Step 6: Final answer
    x = 13,378.43

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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.