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Finding the Fourth Proportional to 22,943.29, 31,659.87 and 12,870.37

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Solution

The fourth proportional to 22,943.29, 31,659.87 and 12,870.37 is: 17,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.29 : 31,659.87 = 12,870.37 : x
  2. Step 2: Convert to fraction form
    22,943.29/31,659.87 = 12,870.37/x
  3. Step 3: Cross multiply
    22,943.29x = 31,659.87 × 12,870.37
  4. Step 4: Simplify right side
    22,943.29x = 407,474,241.05
  5. Step 5: Solve for x
    x = 407,474,241.05/22,943.29
  6. Step 6: Final answer
    x = 17,760.06

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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.