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Finding the Fourth Proportional to 13,522.34, 20,284.43 and 5,199.59

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Solution

The fourth proportional to 13,522.34, 20,284.43 and 5,199.59 is: 7,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.34 : 20,284.43 = 5,199.59 : x
  2. Step 2: Convert to fraction form
    13,522.34/20,284.43 = 5,199.59/x
  3. Step 3: Cross multiply
    13,522.34x = 20,284.43 × 5,199.59
  4. Step 4: Simplify right side
    13,522.34x = 105,470,744.10
  5. Step 5: Solve for x
    x = 105,470,744.10/13,522.34
  6. Step 6: Final answer
    x = 7,799.74

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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.