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Finding the Fourth Proportional to 13,139.68, 19,715.39 and 7,137.58

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Solution

The fourth proportional to 13,139.68, 19,715.39 and 7,137.58 is: 10,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.68 : 19,715.39 = 7,137.58 : x
  2. Step 2: Convert to fraction form
    13,139.68/19,715.39 = 7,137.58/x
  3. Step 3: Cross multiply
    13,139.68x = 19,715.39 × 7,137.58
  4. Step 4: Simplify right side
    13,139.68x = 140,720,173.36
  5. Step 5: Solve for x
    x = 140,720,173.36/13,139.68
  6. Step 6: Final answer
    x = 10,709.56

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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.