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Finding the Fourth Proportional to 23,672.24, 35,502.12 and 7,027.82

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Solution

The fourth proportional to 23,672.24, 35,502.12 and 7,027.82 is: 10,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.24 : 35,502.12 = 7,027.82 : x
  2. Step 2: Convert to fraction form
    23,672.24/35,502.12 = 7,027.82/x
  3. Step 3: Cross multiply
    23,672.24x = 35,502.12 × 7,027.82
  4. Step 4: Simplify right side
    23,672.24x = 249,502,508.98
  5. Step 5: Solve for x
    x = 249,502,508.98/23,672.24
  6. Step 6: Final answer
    x = 10,539.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.