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Finding the Fourth Proportional to 16,105.61, 22,214.48 and 15,563.72

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Solution

The fourth proportional to 16,105.61, 22,214.48 and 15,563.72 is: 21,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.61 : 22,214.48 = 15,563.72 : x
  2. Step 2: Convert to fraction form
    16,105.61/22,214.48 = 15,563.72/x
  3. Step 3: Cross multiply
    16,105.61x = 22,214.48 × 15,563.72
  4. Step 4: Simplify right side
    16,105.61x = 345,739,924.38
  5. Step 5: Solve for x
    x = 345,739,924.38/16,105.61
  6. Step 6: Final answer
    x = 21,467.05

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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.