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Finding the Fourth Proportional to 20,855.86, 31,261.91 and 9,753.19

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Solution

The fourth proportional to 20,855.86, 31,261.91 and 9,753.19 is: 14,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.86 : 31,261.91 = 9,753.19 : x
  2. Step 2: Convert to fraction form
    20,855.86/31,261.91 = 9,753.19/x
  3. Step 3: Cross multiply
    20,855.86x = 31,261.91 × 9,753.19
  4. Step 4: Simplify right side
    20,855.86x = 304,903,221.07
  5. Step 5: Solve for x
    x = 304,903,221.07/20,855.86
  6. Step 6: Final answer
    x = 14,619.55

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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.