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Finding the Fourth Proportional to 14,077.50, 19,427.04 and 7,789.92

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Solution

The fourth proportional to 14,077.50, 19,427.04 and 7,789.92 is: 10,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.50 : 19,427.04 = 7,789.92 : x
  2. Step 2: Convert to fraction form
    14,077.50/19,427.04 = 7,789.92/x
  3. Step 3: Cross multiply
    14,077.50x = 19,427.04 × 7,789.92
  4. Step 4: Simplify right side
    14,077.50x = 151,335,087.44
  5. Step 5: Solve for x
    x = 151,335,087.44/14,077.50
  6. Step 6: Final answer
    x = 10,750.14

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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.