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Finding the Fourth Proportional to 22,533.88, 31,099.46 and 13,102.44

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Solution

The fourth proportional to 22,533.88, 31,099.46 and 13,102.44 is: 18,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.88 : 31,099.46 = 13,102.44 : x
  2. Step 2: Convert to fraction form
    22,533.88/31,099.46 = 13,102.44/x
  3. Step 3: Cross multiply
    22,533.88x = 31,099.46 × 13,102.44
  4. Step 4: Simplify right side
    22,533.88x = 407,478,743.17
  5. Step 5: Solve for x
    x = 407,478,743.17/22,533.88
  6. Step 6: Final answer
    x = 18,082.94

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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.