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Finding the Fourth Proportional to 14,816.22, 20,445.38 and 8,442

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Solution

The fourth proportional to 14,816.22, 20,445.38 and 8,442 is: 11,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.22 : 20,445.38 = 8,442 : x
  2. Step 2: Convert to fraction form
    14,816.22/20,445.38 = 8,442/x
  3. Step 3: Cross multiply
    14,816.22x = 20,445.38 × 8,442
  4. Step 4: Simplify right side
    14,816.22x = 172,599,897.96
  5. Step 5: Solve for x
    x = 172,599,897.96/14,816.22
  6. Step 6: Final answer
    x = 11,649.39

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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.