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Finding the Fourth Proportional to 20,118.74, 30,196.74 and 10,265.36

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Solution

The fourth proportional to 20,118.74, 30,196.74 and 10,265.36 is: 15,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.74 : 30,196.74 = 10,265.36 : x
  2. Step 2: Convert to fraction form
    20,118.74/30,196.74 = 10,265.36/x
  3. Step 3: Cross multiply
    20,118.74x = 30,196.74 × 10,265.36
  4. Step 4: Simplify right side
    20,118.74x = 309,980,406.93
  5. Step 5: Solve for x
    x = 309,980,406.93/20,118.74
  6. Step 6: Final answer
    x = 15,407.55

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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.