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Finding the Fourth Proportional to 20,705.49, 31,059.05 and 9,018.81

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Solution

The fourth proportional to 20,705.49, 31,059.05 and 9,018.81 is: 13,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.49 : 31,059.05 = 9,018.81 : x
  2. Step 2: Convert to fraction form
    20,705.49/31,059.05 = 9,018.81/x
  3. Step 3: Cross multiply
    20,705.49x = 31,059.05 × 9,018.81
  4. Step 4: Simplify right side
    20,705.49x = 280,115,625.64
  5. Step 5: Solve for x
    x = 280,115,625.64/20,705.49
  6. Step 6: Final answer
    x = 13,528.57

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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.