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Finding the Fourth Proportional to 22,660.14, 31,271.67 and 13,709.28

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Solution

The fourth proportional to 22,660.14, 31,271.67 and 13,709.28 is: 18,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.14 : 31,271.67 = 13,709.28 : x
  2. Step 2: Convert to fraction form
    22,660.14/31,271.67 = 13,709.28/x
  3. Step 3: Cross multiply
    22,660.14x = 31,271.67 × 13,709.28
  4. Step 4: Simplify right side
    22,660.14x = 428,712,080.10
  5. Step 5: Solve for x
    x = 428,712,080.10/22,660.14
  6. Step 6: Final answer
    x = 18,919.22

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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.