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Finding the Fourth Proportional to 13,367.40, 20,066.58 and 7,824.78

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Solution

The fourth proportional to 13,367.40, 20,066.58 and 7,824.78 is: 11,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.40 : 20,066.58 = 7,824.78 : x
  2. Step 2: Convert to fraction form
    13,367.40/20,066.58 = 7,824.78/x
  3. Step 3: Cross multiply
    13,367.40x = 20,066.58 × 7,824.78
  4. Step 4: Simplify right side
    13,367.40x = 157,016,573.85
  5. Step 5: Solve for x
    x = 157,016,573.85/13,367.40
  6. Step 6: Final answer
    x = 11,746.23

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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.