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Finding the Fourth Proportional to 22,080.50, 30,471.36 and 12,649.40

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Solution

The fourth proportional to 22,080.50, 30,471.36 and 12,649.40 is: 17,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080.50 : 30,471.36 = 12,649.40 : x
  2. Step 2: Convert to fraction form
    22,080.50/30,471.36 = 12,649.40/x
  3. Step 3: Cross multiply
    22,080.50x = 30,471.36 × 12,649.40
  4. Step 4: Simplify right side
    22,080.50x = 385,444,421.18
  5. Step 5: Solve for x
    x = 385,444,421.18/22,080.50
  6. Step 6: Final answer
    x = 17,456.33

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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.