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Finding the Fourth Proportional to 13,846.10, 20,756.86 and 5,078.99

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Solution

The fourth proportional to 13,846.10, 20,756.86 and 5,078.99 is: 7,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.10 : 20,756.86 = 5,078.99 : x
  2. Step 2: Convert to fraction form
    13,846.10/20,756.86 = 5,078.99/x
  3. Step 3: Cross multiply
    13,846.10x = 20,756.86 × 5,078.99
  4. Step 4: Simplify right side
    13,846.10x = 105,423,923.57
  5. Step 5: Solve for x
    x = 105,423,923.57/13,846.10
  6. Step 6: Final answer
    x = 7,613.98

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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.