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Finding the Fourth Proportional to 16,252.20, 24,379.20 and 4,564.50

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Solution

The fourth proportional to 16,252.20, 24,379.20 and 4,564.50 is: 6,847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.20 : 24,379.20 = 4,564.50 : x
  2. Step 2: Convert to fraction form
    16,252.20/24,379.20 = 4,564.50/x
  3. Step 3: Cross multiply
    16,252.20x = 24,379.20 × 4,564.50
  4. Step 4: Simplify right side
    16,252.20x = 111,278,858.40
  5. Step 5: Solve for x
    x = 111,278,858.40/16,252.20
  6. Step 6: Final answer
    x = 6,847.00

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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.