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Finding the Fourth Proportional to 13,522.72, 20,281.74 and 3,659.70

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Solution

The fourth proportional to 13,522.72, 20,281.74 and 3,659.70 is: 5,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.72 : 20,281.74 = 3,659.70 : x
  2. Step 2: Convert to fraction form
    13,522.72/20,281.74 = 3,659.70/x
  3. Step 3: Cross multiply
    13,522.72x = 20,281.74 × 3,659.70
  4. Step 4: Simplify right side
    13,522.72x = 74,225,083.88
  5. Step 5: Solve for x
    x = 74,225,083.88/13,522.72
  6. Step 6: Final answer
    x = 5,488.92

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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.