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Finding the Fourth Proportional to 22,533.72, 31,086.90 and 14,576.82

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Solution

The fourth proportional to 22,533.72, 31,086.90 and 14,576.82 is: 20,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.72 : 31,086.90 = 14,576.82 : x
  2. Step 2: Convert to fraction form
    22,533.72/31,086.90 = 14,576.82/x
  3. Step 3: Cross multiply
    22,533.72x = 31,086.90 × 14,576.82
  4. Step 4: Simplify right side
    22,533.72x = 453,148,145.66
  5. Step 5: Solve for x
    x = 453,148,145.66/22,533.72
  6. Step 6: Final answer
    x = 20,109.78

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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.