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Finding the Fourth Proportional to 14,270.56, 19,693.76 and 7,982.88

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Solution

The fourth proportional to 14,270.56, 19,693.76 and 7,982.88 is: 11,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.56 : 19,693.76 = 7,982.88 : x
  2. Step 2: Convert to fraction form
    14,270.56/19,693.76 = 7,982.88/x
  3. Step 3: Cross multiply
    14,270.56x = 19,693.76 × 7,982.88
  4. Step 4: Simplify right side
    14,270.56x = 157,212,922.83
  5. Step 5: Solve for x
    x = 157,212,922.83/14,270.56
  6. Step 6: Final answer
    x = 11,016.59

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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.