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Finding the Fourth Proportional to 16,338.10, 24,492.33 and 5,942.50

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Solution

The fourth proportional to 16,338.10, 24,492.33 and 5,942.50 is: 8,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.10 : 24,492.33 = 5,942.50 : x
  2. Step 2: Convert to fraction form
    16,338.10/24,492.33 = 5,942.50/x
  3. Step 3: Cross multiply
    16,338.10x = 24,492.33 × 5,942.50
  4. Step 4: Simplify right side
    16,338.10x = 145,545,671.03
  5. Step 5: Solve for x
    x = 145,545,671.03/16,338.10
  6. Step 6: Final answer
    x = 8,908.36

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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.