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Finding the Fourth Proportional to 19,649.78, 27,120.22 and 12,575.96

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Solution

The fourth proportional to 19,649.78, 27,120.22 and 12,575.96 is: 17,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.78 : 27,120.22 = 12,575.96 : x
  2. Step 2: Convert to fraction form
    19,649.78/27,120.22 = 12,575.96/x
  3. Step 3: Cross multiply
    19,649.78x = 27,120.22 × 12,575.96
  4. Step 4: Simplify right side
    19,649.78x = 341,062,801.91
  5. Step 5: Solve for x
    x = 341,062,801.91/19,649.78
  6. Step 6: Final answer
    x = 17,357.08

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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.