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Finding the Fourth Proportional to 19,801.85, 27,319.82 and 11,297.86

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Solution

The fourth proportional to 19,801.85, 27,319.82 and 11,297.86 is: 15,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.85 : 27,319.82 = 11,297.86 : x
  2. Step 2: Convert to fraction form
    19,801.85/27,319.82 = 11,297.86/x
  3. Step 3: Cross multiply
    19,801.85x = 27,319.82 × 11,297.86
  4. Step 4: Simplify right side
    19,801.85x = 308,655,445.10
  5. Step 5: Solve for x
    x = 308,655,445.10/19,801.85
  6. Step 6: Final answer
    x = 15,587.21

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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.