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Finding the Fourth Proportional to 22,204.47, 30,649.02 and 12,779.31

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Solution

The fourth proportional to 22,204.47, 30,649.02 and 12,779.31 is: 17,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.47 : 30,649.02 = 12,779.31 : x
  2. Step 2: Convert to fraction form
    22,204.47/30,649.02 = 12,779.31/x
  3. Step 3: Cross multiply
    22,204.47x = 30,649.02 × 12,779.31
  4. Step 4: Simplify right side
    22,204.47x = 391,673,327.78
  5. Step 5: Solve for x
    x = 391,673,327.78/22,204.47
  6. Step 6: Final answer
    x = 17,639.39

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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.