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Finding the Fourth Proportional to 13,354.74, 20,050.34 and 6,785.57

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Solution

The fourth proportional to 13,354.74, 20,050.34 and 6,785.57 is: 10,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.74 : 20,050.34 = 6,785.57 : x
  2. Step 2: Convert to fraction form
    13,354.74/20,050.34 = 6,785.57/x
  3. Step 3: Cross multiply
    13,354.74x = 20,050.34 × 6,785.57
  4. Step 4: Simplify right side
    13,354.74x = 136,053,001.79
  5. Step 5: Solve for x
    x = 136,053,001.79/13,354.74
  6. Step 6: Final answer
    x = 10,187.62

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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.