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Finding the Fourth Proportional to 18,834, 28,260.72 and 9,600

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Solution

The fourth proportional to 18,834, 28,260.72 and 9,600 is: 14,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,834 : 28,260.72 = 9,600 : x
  2. Step 2: Convert to fraction form
    18,834/28,260.72 = 9,600/x
  3. Step 3: Cross multiply
    18,834x = 28,260.72 × 9,600
  4. Step 4: Simplify right side
    18,834x = 271,302,912
  5. Step 5: Solve for x
    x = 271,302,912/18,834
  6. Step 6: Final answer
    x = 14,404.95

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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.