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Finding the Fourth Proportional to 20,803.98, 31,191.36 and 7,654.62

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Solution

The fourth proportional to 20,803.98, 31,191.36 and 7,654.62 is: 11,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.98 : 31,191.36 = 7,654.62 : x
  2. Step 2: Convert to fraction form
    20,803.98/31,191.36 = 7,654.62/x
  3. Step 3: Cross multiply
    20,803.98x = 31,191.36 × 7,654.62
  4. Step 4: Simplify right side
    20,803.98x = 238,758,008.08
  5. Step 5: Solve for x
    x = 238,758,008.08/20,803.98
  6. Step 6: Final answer
    x = 11,476.55

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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.