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Finding the Fourth Proportional to 20,333.40, 30,475.50 and 9,228.91

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Solution

The fourth proportional to 20,333.40, 30,475.50 and 9,228.91 is: 13,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,333.40 : 30,475.50 = 9,228.91 : x
  2. Step 2: Convert to fraction form
    20,333.40/30,475.50 = 9,228.91/x
  3. Step 3: Cross multiply
    20,333.40x = 30,475.50 × 9,228.91
  4. Step 4: Simplify right side
    20,333.40x = 281,255,535.91
  5. Step 5: Solve for x
    x = 281,255,535.91/20,333.40
  6. Step 6: Final answer
    x = 13,832.19

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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.