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Finding the Fourth Proportional to 16,074.30, 24,113.04 and 5,542.94

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Solution

The fourth proportional to 16,074.30, 24,113.04 and 5,542.94 is: 8,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.30 : 24,113.04 = 5,542.94 : x
  2. Step 2: Convert to fraction form
    16,074.30/24,113.04 = 5,542.94/x
  3. Step 3: Cross multiply
    16,074.30x = 24,113.04 × 5,542.94
  4. Step 4: Simplify right side
    16,074.30x = 133,657,013.37
  5. Step 5: Solve for x
    x = 133,657,013.37/16,074.30
  6. Step 6: Final answer
    x = 8,314.95

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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.