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Finding the Fourth Proportional to 12,993.32, 19,488.90 and 5,202.56

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Solution

The fourth proportional to 12,993.32, 19,488.90 and 5,202.56 is: 7,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.32 : 19,488.90 = 5,202.56 : x
  2. Step 2: Convert to fraction form
    12,993.32/19,488.90 = 5,202.56/x
  3. Step 3: Cross multiply
    12,993.32x = 19,488.90 × 5,202.56
  4. Step 4: Simplify right side
    12,993.32x = 101,392,171.58
  5. Step 5: Solve for x
    x = 101,392,171.58/12,993.32
  6. Step 6: Final answer
    x = 7,803.41

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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.