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Finding the Fourth Proportional to 14,077.96, 19,426.78 and 7,789.96

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Solution

The fourth proportional to 14,077.96, 19,426.78 and 7,789.96 is: 10,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.96 : 19,426.78 = 7,789.96 : x
  2. Step 2: Convert to fraction form
    14,077.96/19,426.78 = 7,789.96/x
  3. Step 3: Cross multiply
    14,077.96x = 19,426.78 × 7,789.96
  4. Step 4: Simplify right side
    14,077.96x = 151,333,839.13
  5. Step 5: Solve for x
    x = 151,333,839.13/14,077.96
  6. Step 6: Final answer
    x = 10,749.70

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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.