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Finding the Fourth Proportional to 21,005.10, 31,511.07 and 6,215.52

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Solution

The fourth proportional to 21,005.10, 31,511.07 and 6,215.52 is: 9,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.10 : 31,511.07 = 6,215.52 : x
  2. Step 2: Convert to fraction form
    21,005.10/31,511.07 = 6,215.52/x
  3. Step 3: Cross multiply
    21,005.10x = 31,511.07 × 6,215.52
  4. Step 4: Simplify right side
    21,005.10x = 195,857,685.81
  5. Step 5: Solve for x
    x = 195,857,685.81/21,005.10
  6. Step 6: Final answer
    x = 9,324.29

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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.