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Finding the Fourth Proportional to 22,533.68, 31,096.08 and 13,586.09

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Solution

The fourth proportional to 22,533.68, 31,096.08 and 13,586.09 is: 18,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.68 : 31,096.08 = 13,586.09 : x
  2. Step 2: Convert to fraction form
    22,533.68/31,096.08 = 13,586.09/x
  3. Step 3: Cross multiply
    22,533.68x = 31,096.08 × 13,586.09
  4. Step 4: Simplify right side
    22,533.68x = 422,473,986.05
  5. Step 5: Solve for x
    x = 422,473,986.05/22,533.68
  6. Step 6: Final answer
    x = 18,748.56

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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.