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Finding the Fourth Proportional to 21,790.74, 32,678.94 and 6,996.14

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Solution

The fourth proportional to 21,790.74, 32,678.94 and 6,996.14 is: 10,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790.74 : 32,678.94 = 6,996.14 : x
  2. Step 2: Convert to fraction form
    21,790.74/32,678.94 = 6,996.14/x
  3. Step 3: Cross multiply
    21,790.74x = 32,678.94 × 6,996.14
  4. Step 4: Simplify right side
    21,790.74x = 228,626,439.29
  5. Step 5: Solve for x
    x = 228,626,439.29/21,790.74
  6. Step 6: Final answer
    x = 10,491.91

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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.