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Finding the Fourth Proportional to 21,033.10, 31,548.94 and 5,238.10

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Solution

The fourth proportional to 21,033.10, 31,548.94 and 5,238.10 is: 7,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033.10 : 31,548.94 = 5,238.10 : x
  2. Step 2: Convert to fraction form
    21,033.10/31,548.94 = 5,238.10/x
  3. Step 3: Cross multiply
    21,033.10x = 31,548.94 × 5,238.10
  4. Step 4: Simplify right side
    21,033.10x = 165,256,502.61
  5. Step 5: Solve for x
    x = 165,256,502.61/21,033.10
  6. Step 6: Final answer
    x = 7,856.97

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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.