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Finding the Fourth Proportional to 14,273.56, 19,698.42 and 7,987.96

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Solution

The fourth proportional to 14,273.56, 19,698.42 and 7,987.96 is: 11,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,273.56 : 19,698.42 = 7,987.96 : x
  2. Step 2: Convert to fraction form
    14,273.56/19,698.42 = 7,987.96/x
  3. Step 3: Cross multiply
    14,273.56x = 19,698.42 × 7,987.96
  4. Step 4: Simplify right side
    14,273.56x = 157,350,191.02
  5. Step 5: Solve for x
    x = 157,350,191.02/14,273.56
  6. Step 6: Final answer
    x = 11,023.89

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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.