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Finding the Fourth Proportional to 20,098.57, 30,138.26 and 9,005.35

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Solution

The fourth proportional to 20,098.57, 30,138.26 and 9,005.35 is: 13,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.57 : 30,138.26 = 9,005.35 : x
  2. Step 2: Convert to fraction form
    20,098.57/30,138.26 = 9,005.35/x
  3. Step 3: Cross multiply
    20,098.57x = 30,138.26 × 9,005.35
  4. Step 4: Simplify right side
    20,098.57x = 271,405,429.00
  5. Step 5: Solve for x
    x = 271,405,429.00/20,098.57
  6. Step 6: Final answer
    x = 13,503.72

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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.