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Finding the Fourth Proportional to 21,020.72, 31,516.95 and 8,362.09

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Solution

The fourth proportional to 21,020.72, 31,516.95 and 8,362.09 is: 12,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.72 : 31,516.95 = 8,362.09 : x
  2. Step 2: Convert to fraction form
    21,020.72/31,516.95 = 8,362.09/x
  3. Step 3: Cross multiply
    21,020.72x = 31,516.95 × 8,362.09
  4. Step 4: Simplify right side
    21,020.72x = 263,547,418.86
  5. Step 5: Solve for x
    x = 263,547,418.86/21,020.72
  6. Step 6: Final answer
    x = 12,537.51

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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.