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Finding the Fourth Proportional to 16,576.18, 22,867.57 and 9,857.99

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Solution

The fourth proportional to 16,576.18, 22,867.57 and 9,857.99 is: 13,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.18 : 22,867.57 = 9,857.99 : x
  2. Step 2: Convert to fraction form
    16,576.18/22,867.57 = 9,857.99/x
  3. Step 3: Cross multiply
    16,576.18x = 22,867.57 × 9,857.99
  4. Step 4: Simplify right side
    16,576.18x = 225,428,276.38
  5. Step 5: Solve for x
    x = 225,428,276.38/16,576.18
  6. Step 6: Final answer
    x = 13,599.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.