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Finding the Fourth Proportional to 20,772.72, 31,159.08 and 6,921.72

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Solution

The fourth proportional to 20,772.72, 31,159.08 and 6,921.72 is: 10,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.72 : 31,159.08 = 6,921.72 : x
  2. Step 2: Convert to fraction form
    20,772.72/31,159.08 = 6,921.72/x
  3. Step 3: Cross multiply
    20,772.72x = 31,159.08 × 6,921.72
  4. Step 4: Simplify right side
    20,772.72x = 215,674,427.22
  5. Step 5: Solve for x
    x = 215,674,427.22/20,772.72
  6. Step 6: Final answer
    x = 10,382.58

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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.