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Finding the Fourth Proportional to 16,142.76, 22,267.72 and 10,082.46

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Solution

The fourth proportional to 16,142.76, 22,267.72 and 10,082.46 is: 13,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.76 : 22,267.72 = 10,082.46 : x
  2. Step 2: Convert to fraction form
    16,142.76/22,267.72 = 10,082.46/x
  3. Step 3: Cross multiply
    16,142.76x = 22,267.72 × 10,082.46
  4. Step 4: Simplify right side
    16,142.76x = 224,513,396.19
  5. Step 5: Solve for x
    x = 224,513,396.19/16,142.76
  6. Step 6: Final answer
    x = 13,907.99

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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.