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Finding the Fourth Proportional to 13,193.60, 19,790.24 and 5,402.40

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Solution

The fourth proportional to 13,193.60, 19,790.24 and 5,402.40 is: 8,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.60 : 19,790.24 = 5,402.40 : x
  2. Step 2: Convert to fraction form
    13,193.60/19,790.24 = 5,402.40/x
  3. Step 3: Cross multiply
    13,193.60x = 19,790.24 × 5,402.40
  4. Step 4: Simplify right side
    13,193.60x = 106,914,792.58
  5. Step 5: Solve for x
    x = 106,914,792.58/13,193.60
  6. Step 6: Final answer
    x = 8,103.53

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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.