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Finding the Fourth Proportional to 21,177.64, 31,768.62 and 6,387.04

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Solution

The fourth proportional to 21,177.64, 31,768.62 and 6,387.04 is: 9,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.64 : 31,768.62 = 6,387.04 : x
  2. Step 2: Convert to fraction form
    21,177.64/31,768.62 = 6,387.04/x
  3. Step 3: Cross multiply
    21,177.64x = 31,768.62 × 6,387.04
  4. Step 4: Simplify right side
    21,177.64x = 202,907,446.68
  5. Step 5: Solve for x
    x = 202,907,446.68/21,177.64
  6. Step 6: Final answer
    x = 9,581.21

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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.