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Finding the Fourth Proportional to 16,537.11, 22,820.57 and 9,463.38

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Solution

The fourth proportional to 16,537.11, 22,820.57 and 9,463.38 is: 13,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.11 : 22,820.57 = 9,463.38 : x
  2. Step 2: Convert to fraction form
    16,537.11/22,820.57 = 9,463.38/x
  3. Step 3: Cross multiply
    16,537.11x = 22,820.57 × 9,463.38
  4. Step 4: Simplify right side
    16,537.11x = 215,959,678.41
  5. Step 5: Solve for x
    x = 215,959,678.41/16,537.11
  6. Step 6: Final answer
    x = 13,059.09

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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.