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Finding the Fourth Proportional to 21,488.64, 32,082.56 and 20,170.24

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Solution

The fourth proportional to 21,488.64, 32,082.56 and 20,170.24 is: 30,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.64 : 32,082.56 = 20,170.24 : x
  2. Step 2: Convert to fraction form
    21,488.64/32,082.56 = 20,170.24/x
  3. Step 3: Cross multiply
    21,488.64x = 32,082.56 × 20,170.24
  4. Step 4: Simplify right side
    21,488.64x = 647,112,935.01
  5. Step 5: Solve for x
    x = 647,112,935.01/21,488.64
  6. Step 6: Final answer
    x = 30,114.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.