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Finding the Fourth Proportional to 21,202.32, 31,790.96 and 8,055.60

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Solution

The fourth proportional to 21,202.32, 31,790.96 and 8,055.60 is: 12,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.32 : 31,790.96 = 8,055.60 : x
  2. Step 2: Convert to fraction form
    21,202.32/31,790.96 = 8,055.60/x
  3. Step 3: Cross multiply
    21,202.32x = 31,790.96 × 8,055.60
  4. Step 4: Simplify right side
    21,202.32x = 256,095,257.38
  5. Step 5: Solve for x
    x = 256,095,257.38/21,202.32
  6. Step 6: Final answer
    x = 12,078.64

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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.