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Finding the Fourth Proportional to 21,790.24, 32,696.17 and 8,642.32

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Solution

The fourth proportional to 21,790.24, 32,696.17 and 8,642.32 is: 12,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790.24 : 32,696.17 = 8,642.32 : x
  2. Step 2: Convert to fraction form
    21,790.24/32,696.17 = 8,642.32/x
  3. Step 3: Cross multiply
    21,790.24x = 32,696.17 × 8,642.32
  4. Step 4: Simplify right side
    21,790.24x = 282,570,660.57
  5. Step 5: Solve for x
    x = 282,570,660.57/21,790.24
  6. Step 6: Final answer
    x = 12,967.76

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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.