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Finding the Fourth Proportional to 22,576.99, 31,154.80 and 13,016.38

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Solution

The fourth proportional to 22,576.99, 31,154.80 and 13,016.38 is: 17,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.99 : 31,154.80 = 13,016.38 : x
  2. Step 2: Convert to fraction form
    22,576.99/31,154.80 = 13,016.38/x
  3. Step 3: Cross multiply
    22,576.99x = 31,154.80 × 13,016.38
  4. Step 4: Simplify right side
    22,576.99x = 405,522,637.74
  5. Step 5: Solve for x
    x = 405,522,637.74/22,576.99
  6. Step 6: Final answer
    x = 17,961.77

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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.