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Finding the Fourth Proportional to 20,705.64, 31,072.86 and 9,012.84

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Solution

The fourth proportional to 20,705.64, 31,072.86 and 9,012.84 is: 13,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.64 : 31,072.86 = 9,012.84 : x
  2. Step 2: Convert to fraction form
    20,705.64/31,072.86 = 9,012.84/x
  3. Step 3: Cross multiply
    20,705.64x = 31,072.86 × 9,012.84
  4. Step 4: Simplify right side
    20,705.64x = 280,054,715.52
  5. Step 5: Solve for x
    x = 280,054,715.52/20,705.64
  6. Step 6: Final answer
    x = 13,525.53

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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.