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Finding the Fourth Proportional to 16,491.56, 24,696.32 and 11,538

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Solution

The fourth proportional to 16,491.56, 24,696.32 and 11,538 is: 17,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.56 : 24,696.32 = 11,538 : x
  2. Step 2: Convert to fraction form
    16,491.56/24,696.32 = 11,538/x
  3. Step 3: Cross multiply
    16,491.56x = 24,696.32 × 11,538
  4. Step 4: Simplify right side
    16,491.56x = 284,946,082.47
  5. Step 5: Solve for x
    x = 284,946,082.47/16,491.56
  6. Step 6: Final answer
    x = 17,278.30

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Why These Related Problems?

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