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Finding the Fourth Proportional to 16,586.56, 24,879.02 and 6,197.50

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Solution

The fourth proportional to 16,586.56, 24,879.02 and 6,197.50 is: 9,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.56 : 24,879.02 = 6,197.50 : x
  2. Step 2: Convert to fraction form
    16,586.56/24,879.02 = 6,197.50/x
  3. Step 3: Cross multiply
    16,586.56x = 24,879.02 × 6,197.50
  4. Step 4: Simplify right side
    16,586.56x = 154,187,726.45
  5. Step 5: Solve for x
    x = 154,187,726.45/16,586.56
  6. Step 6: Final answer
    x = 9,295.94

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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.