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Finding the Fourth Proportional to 20,869.41, 31,314.24 and 9,181.11

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Solution

The fourth proportional to 20,869.41, 31,314.24 and 9,181.11 is: 13,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.41 : 31,314.24 = 9,181.11 : x
  2. Step 2: Convert to fraction form
    20,869.41/31,314.24 = 9,181.11/x
  3. Step 3: Cross multiply
    20,869.41x = 31,314.24 × 9,181.11
  4. Step 4: Simplify right side
    20,869.41x = 287,499,482.01
  5. Step 5: Solve for x
    x = 287,499,482.01/20,869.41
  6. Step 6: Final answer
    x = 13,776.12

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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.