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Finding the Fourth Proportional to 22,976.60, 31,710.64 and 14,022.20

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Solution

The fourth proportional to 22,976.60, 31,710.64 and 14,022.20 is: 19,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,976.60 : 31,710.64 = 14,022.20 : x
  2. Step 2: Convert to fraction form
    22,976.60/31,710.64 = 14,022.20/x
  3. Step 3: Cross multiply
    22,976.60x = 31,710.64 × 14,022.20
  4. Step 4: Simplify right side
    22,976.60x = 444,652,936.21
  5. Step 5: Solve for x
    x = 444,652,936.21/22,976.60
  6. Step 6: Final answer
    x = 19,352.43

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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.