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Finding the Fourth Proportional to 31,656.24, 43,686.36 and 17,509.36

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Solution

The fourth proportional to 31,656.24, 43,686.36 and 17,509.36 is: 24,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.24 : 43,686.36 = 17,509.36 : x
  2. Step 2: Convert to fraction form
    31,656.24/43,686.36 = 17,509.36/x
  3. Step 3: Cross multiply
    31,656.24x = 43,686.36 × 17,509.36
  4. Step 4: Simplify right side
    31,656.24x = 764,920,204.33
  5. Step 5: Solve for x
    x = 764,920,204.33/31,656.24
  6. Step 6: Final answer
    x = 24,163.33

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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.