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Finding the Fourth Proportional to 13,078.96, 19,604.67 and 4,311.52

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Solution

The fourth proportional to 13,078.96, 19,604.67 and 4,311.52 is: 6,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.96 : 19,604.67 = 4,311.52 : x
  2. Step 2: Convert to fraction form
    13,078.96/19,604.67 = 4,311.52/x
  3. Step 3: Cross multiply
    13,078.96x = 19,604.67 × 4,311.52
  4. Step 4: Simplify right side
    13,078.96x = 84,525,926.80
  5. Step 5: Solve for x
    x = 84,525,926.80/13,078.96
  6. Step 6: Final answer
    x = 6,462.74

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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.