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Finding the Fourth Proportional to 13,506.90, 20,259.39 and 3,646.74

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Solution

The fourth proportional to 13,506.90, 20,259.39 and 3,646.74 is: 5,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.90 : 20,259.39 = 3,646.74 : x
  2. Step 2: Convert to fraction form
    13,506.90/20,259.39 = 3,646.74/x
  3. Step 3: Cross multiply
    13,506.90x = 20,259.39 × 3,646.74
  4. Step 4: Simplify right side
    13,506.90x = 73,880,727.89
  5. Step 5: Solve for x
    x = 73,880,727.89/13,506.90
  6. Step 6: Final answer
    x = 5,469.85

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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.