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Finding the Fourth Proportional to 13,137.68, 19,712.39 and 7,135.58

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Solution

The fourth proportional to 13,137.68, 19,712.39 and 7,135.58 is: 10,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.68 : 19,712.39 = 7,135.58 : x
  2. Step 2: Convert to fraction form
    13,137.68/19,712.39 = 7,135.58/x
  3. Step 3: Cross multiply
    13,137.68x = 19,712.39 × 7,135.58
  4. Step 4: Simplify right side
    13,137.68x = 140,659,201.60
  5. Step 5: Solve for x
    x = 140,659,201.60/13,137.68
  6. Step 6: Final answer
    x = 10,706.55

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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.