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Finding the Fourth Proportional to 19,801.41, 27,319.21 and 11,297.42

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Solution

The fourth proportional to 19,801.41, 27,319.21 and 11,297.42 is: 15,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.41 : 27,319.21 = 11,297.42 : x
  2. Step 2: Convert to fraction form
    19,801.41/27,319.21 = 11,297.42/x
  3. Step 3: Cross multiply
    19,801.41x = 27,319.21 × 11,297.42
  4. Step 4: Simplify right side
    19,801.41x = 308,636,590.59
  5. Step 5: Solve for x
    x = 308,636,590.59/19,801.41
  6. Step 6: Final answer
    x = 15,586.60

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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.