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Finding the Fourth Proportional to 13,785.48, 20,685.07 and 5,465.31

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Solution

The fourth proportional to 13,785.48, 20,685.07 and 5,465.31 is: 8,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.48 : 20,685.07 = 5,465.31 : x
  2. Step 2: Convert to fraction form
    13,785.48/20,685.07 = 5,465.31/x
  3. Step 3: Cross multiply
    13,785.48x = 20,685.07 × 5,465.31
  4. Step 4: Simplify right side
    13,785.48x = 113,050,400.66
  5. Step 5: Solve for x
    x = 113,050,400.66/13,785.48
  6. Step 6: Final answer
    x = 8,200.68

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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.