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Finding the Fourth Proportional to 16,562.22, 24,840.81 and 8,239.50

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Solution

The fourth proportional to 16,562.22, 24,840.81 and 8,239.50 is: 12,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.22 : 24,840.81 = 8,239.50 : x
  2. Step 2: Convert to fraction form
    16,562.22/24,840.81 = 8,239.50/x
  3. Step 3: Cross multiply
    16,562.22x = 24,840.81 × 8,239.50
  4. Step 4: Simplify right side
    16,562.22x = 204,675,854.00
  5. Step 5: Solve for x
    x = 204,675,854.00/16,562.22
  6. Step 6: Final answer
    x = 12,358.00

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1.5x scale

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.