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Finding the Fourth Proportional to 16,029.82, 24,047 and 4,937.41

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Solution

The fourth proportional to 16,029.82, 24,047 and 4,937.41 is: 7,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.82 : 24,047 = 4,937.41 : x
  2. Step 2: Convert to fraction form
    16,029.82/24,047 = 4,937.41/x
  3. Step 3: Cross multiply
    16,029.82x = 24,047 × 4,937.41
  4. Step 4: Simplify right side
    16,029.82x = 118,729,898.27
  5. Step 5: Solve for x
    x = 118,729,898.27/16,029.82
  6. Step 6: Final answer
    x = 7,406.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.