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Finding the Fourth Proportional to 18,082.28, 24,954 and 10,015.76

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Solution

The fourth proportional to 18,082.28, 24,954 and 10,015.76 is: 13,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.28 : 24,954 = 10,015.76 : x
  2. Step 2: Convert to fraction form
    18,082.28/24,954 = 10,015.76/x
  3. Step 3: Cross multiply
    18,082.28x = 24,954 × 10,015.76
  4. Step 4: Simplify right side
    18,082.28x = 249,933,275.04
  5. Step 5: Solve for x
    x = 249,933,275.04/18,082.28
  6. Step 6: Final answer
    x = 13,822.00

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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.