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Finding the Fourth Proportional to 21,074.01, 31,612.89 and 5,491.77

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Solution

The fourth proportional to 21,074.01, 31,612.89 and 5,491.77 is: 8,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.01 : 31,612.89 = 5,491.77 : x
  2. Step 2: Convert to fraction form
    21,074.01/31,612.89 = 5,491.77/x
  3. Step 3: Cross multiply
    21,074.01x = 31,612.89 × 5,491.77
  4. Step 4: Simplify right side
    21,074.01x = 173,610,720.92
  5. Step 5: Solve for x
    x = 173,610,720.92/21,074.01
  6. Step 6: Final answer
    x = 8,238.14

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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.