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Finding the Fourth Proportional to 23,224, 32,049.12 and 13,288

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Solution

The fourth proportional to 23,224, 32,049.12 and 13,288 is: 18,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224 : 32,049.12 = 13,288 : x
  2. Step 2: Convert to fraction form
    23,224/32,049.12 = 13,288/x
  3. Step 3: Cross multiply
    23,224x = 32,049.12 × 13,288
  4. Step 4: Simplify right side
    23,224x = 425,868,706.56
  5. Step 5: Solve for x
    x = 425,868,706.56/23,224
  6. Step 6: Final answer
    x = 18,337.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.