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Finding the Fourth Proportional to 22,847.68, 34,188.06 and 13,492.12

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Solution

The fourth proportional to 22,847.68, 34,188.06 and 13,492.12 is: 20,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.68 : 34,188.06 = 13,492.12 : x
  2. Step 2: Convert to fraction form
    22,847.68/34,188.06 = 13,492.12/x
  3. Step 3: Cross multiply
    22,847.68x = 34,188.06 × 13,492.12
  4. Step 4: Simplify right side
    22,847.68x = 461,269,408.09
  5. Step 5: Solve for x
    x = 461,269,408.09/22,847.68
  6. Step 6: Final answer
    x = 20,188.89

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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.