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Finding the Fourth Proportional to 12,992.40, 19,503.18 and 5,206.68

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Solution

The fourth proportional to 12,992.40, 19,503.18 and 5,206.68 is: 7,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.40 : 19,503.18 = 5,206.68 : x
  2. Step 2: Convert to fraction form
    12,992.40/19,503.18 = 5,206.68/x
  3. Step 3: Cross multiply
    12,992.40x = 19,503.18 × 5,206.68
  4. Step 4: Simplify right side
    12,992.40x = 101,546,817.24
  5. Step 5: Solve for x
    x = 101,546,817.24/12,992.40
  6. Step 6: Final answer
    x = 7,815.86

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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.