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Finding the Fourth Proportional to 20,853.30, 31,284.06 and 7,705.80

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Solution

The fourth proportional to 20,853.30, 31,284.06 and 7,705.80 is: 11,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.30 : 31,284.06 = 7,705.80 : x
  2. Step 2: Convert to fraction form
    20,853.30/31,284.06 = 7,705.80/x
  3. Step 3: Cross multiply
    20,853.30x = 31,284.06 × 7,705.80
  4. Step 4: Simplify right side
    20,853.30x = 241,068,709.55
  5. Step 5: Solve for x
    x = 241,068,709.55/20,853.30
  6. Step 6: Final answer
    x = 11,560.22

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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.