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Finding the Fourth Proportional to 16,085.52, 24,127.14 and 4,991.94

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Solution

The fourth proportional to 16,085.52, 24,127.14 and 4,991.94 is: 7,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.52 : 24,127.14 = 4,991.94 : x
  2. Step 2: Convert to fraction form
    16,085.52/24,127.14 = 4,991.94/x
  3. Step 3: Cross multiply
    16,085.52x = 24,127.14 × 4,991.94
  4. Step 4: Simplify right side
    16,085.52x = 120,441,235.25
  5. Step 5: Solve for x
    x = 120,441,235.25/16,085.52
  6. Step 6: Final answer
    x = 7,487.56

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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.