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Finding the Fourth Proportional to 22,029.15, 30,416.22 and 13,542.83

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Solution

The fourth proportional to 22,029.15, 30,416.22 and 13,542.83 is: 18,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.15 : 30,416.22 = 13,542.83 : x
  2. Step 2: Convert to fraction form
    22,029.15/30,416.22 = 13,542.83/x
  3. Step 3: Cross multiply
    22,029.15x = 30,416.22 × 13,542.83
  4. Step 4: Simplify right side
    22,029.15x = 411,921,696.70
  5. Step 5: Solve for x
    x = 411,921,696.70/22,029.15
  6. Step 6: Final answer
    x = 18,698.94

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