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Finding the Fourth Proportional to 16,643.10, 24,964.65 and 10,082.10

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Solution

The fourth proportional to 16,643.10, 24,964.65 and 10,082.10 is: 15,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.10 : 24,964.65 = 10,082.10 : x
  2. Step 2: Convert to fraction form
    16,643.10/24,964.65 = 10,082.10/x
  3. Step 3: Cross multiply
    16,643.10x = 24,964.65 × 10,082.10
  4. Step 4: Simplify right side
    16,643.10x = 251,696,097.77
  5. Step 5: Solve for x
    x = 251,696,097.77/16,643.10
  6. Step 6: Final answer
    x = 15,123.15

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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.