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Finding the Fourth Proportional to 22,461.68, 33,679.32 and 13,464.68

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Solution

The fourth proportional to 22,461.68, 33,679.32 and 13,464.68 is: 20,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.68 : 33,679.32 = 13,464.68 : x
  2. Step 2: Convert to fraction form
    22,461.68/33,679.32 = 13,464.68/x
  3. Step 3: Cross multiply
    22,461.68x = 33,679.32 × 13,464.68
  4. Step 4: Simplify right side
    22,461.68x = 453,481,266.42
  5. Step 5: Solve for x
    x = 453,481,266.42/22,461.68
  6. Step 6: Final answer
    x = 20,189.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.