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Finding the Fourth Proportional to 14,162.16, 19,544.28 and 7,789.24

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Solution

The fourth proportional to 14,162.16, 19,544.28 and 7,789.24 is: 10,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.16 : 19,544.28 = 7,789.24 : x
  2. Step 2: Convert to fraction form
    14,162.16/19,544.28 = 7,789.24/x
  3. Step 3: Cross multiply
    14,162.16x = 19,544.28 × 7,789.24
  4. Step 4: Simplify right side
    14,162.16x = 152,235,087.55
  5. Step 5: Solve for x
    x = 152,235,087.55/14,162.16
  6. Step 6: Final answer
    x = 10,749.43

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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.