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Finding the Fourth Proportional to 21,494.92, 32,238.06 and 6,701.44

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Solution

The fourth proportional to 21,494.92, 32,238.06 and 6,701.44 is: 10,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.92 : 32,238.06 = 6,701.44 : x
  2. Step 2: Convert to fraction form
    21,494.92/32,238.06 = 6,701.44/x
  3. Step 3: Cross multiply
    21,494.92x = 32,238.06 × 6,701.44
  4. Step 4: Simplify right side
    21,494.92x = 216,041,424.81
  5. Step 5: Solve for x
    x = 216,041,424.81/21,494.92
  6. Step 6: Final answer
    x = 10,050.81

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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.