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Finding the Fourth Proportional to 22,615.41, 31,205.23 and 13,656.92

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Solution

The fourth proportional to 22,615.41, 31,205.23 and 13,656.92 is: 18,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.41 : 31,205.23 = 13,656.92 : x
  2. Step 2: Convert to fraction form
    22,615.41/31,205.23 = 13,656.92/x
  3. Step 3: Cross multiply
    22,615.41x = 31,205.23 × 13,656.92
  4. Step 4: Simplify right side
    22,615.41x = 426,167,105.38
  5. Step 5: Solve for x
    x = 426,167,105.38/22,615.41
  6. Step 6: Final answer
    x = 18,844.10

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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.