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Finding the Fourth Proportional to 16,359.96, 24,544.86 and 5,828.60

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Solution

The fourth proportional to 16,359.96, 24,544.86 and 5,828.60 is: 8,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359.96 : 24,544.86 = 5,828.60 : x
  2. Step 2: Convert to fraction form
    16,359.96/24,544.86 = 5,828.60/x
  3. Step 3: Cross multiply
    16,359.96x = 24,544.86 × 5,828.60
  4. Step 4: Simplify right side
    16,359.96x = 143,062,232.36
  5. Step 5: Solve for x
    x = 143,062,232.36/16,359.96
  6. Step 6: Final answer
    x = 8,744.66

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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.