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Finding the Fourth Proportional to 20,155.70, 30,238.67 and 11,842.74

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Solution

The fourth proportional to 20,155.70, 30,238.67 and 11,842.74 is: 17,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.70 : 30,238.67 = 11,842.74 : x
  2. Step 2: Convert to fraction form
    20,155.70/30,238.67 = 11,842.74/x
  3. Step 3: Cross multiply
    20,155.70x = 30,238.67 × 11,842.74
  4. Step 4: Simplify right side
    20,155.70x = 358,108,706.76
  5. Step 5: Solve for x
    x = 358,108,706.76/20,155.70
  6. Step 6: Final answer
    x = 17,767.12

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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.