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Finding the Fourth Proportional to 31,655.40, 43,686.71 and 17,507.94

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Solution

The fourth proportional to 31,655.40, 43,686.71 and 17,507.94 is: 24,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.40 : 43,686.71 = 17,507.94 : x
  2. Step 2: Convert to fraction form
    31,655.40/43,686.71 = 17,507.94/x
  3. Step 3: Cross multiply
    31,655.40x = 43,686.71 × 17,507.94
  4. Step 4: Simplify right side
    31,655.40x = 764,864,297.48
  5. Step 5: Solve for x
    x = 764,864,297.48/31,655.40
  6. Step 6: Final answer
    x = 24,162.21

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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.