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Finding the Fourth Proportional to 19,878.72, 27,430.56 and 11,493.60

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Solution

The fourth proportional to 19,878.72, 27,430.56 and 11,493.60 is: 15,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.72 : 27,430.56 = 11,493.60 : x
  2. Step 2: Convert to fraction form
    19,878.72/27,430.56 = 11,493.60/x
  3. Step 3: Cross multiply
    19,878.72x = 27,430.56 × 11,493.60
  4. Step 4: Simplify right side
    19,878.72x = 315,275,884.42
  5. Step 5: Solve for x
    x = 315,275,884.42/19,878.72
  6. Step 6: Final answer
    x = 15,859.97

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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.