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Finding the Fourth Proportional to 13,604.59, 20,395.63 and 5,169.35

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Solution

The fourth proportional to 13,604.59, 20,395.63 and 5,169.35 is: 7,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.59 : 20,395.63 = 5,169.35 : x
  2. Step 2: Convert to fraction form
    13,604.59/20,395.63 = 5,169.35/x
  3. Step 3: Cross multiply
    13,604.59x = 20,395.63 × 5,169.35
  4. Step 4: Simplify right side
    13,604.59x = 105,432,078.52
  5. Step 5: Solve for x
    x = 105,432,078.52/13,604.59
  6. Step 6: Final answer
    x = 7,749.74

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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.