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Finding the Fourth Proportional to 21,105.86, 31,666.38 and 9,871.24

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Solution

The fourth proportional to 21,105.86, 31,666.38 and 9,871.24 is: 14,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.86 : 31,666.38 = 9,871.24 : x
  2. Step 2: Convert to fraction form
    21,105.86/31,666.38 = 9,871.24/x
  3. Step 3: Cross multiply
    21,105.86x = 31,666.38 × 9,871.24
  4. Step 4: Simplify right side
    21,105.86x = 312,586,436.91
  5. Step 5: Solve for x
    x = 312,586,436.91/21,105.86
  6. Step 6: Final answer
    x = 14,810.41

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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.