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Finding the Fourth Proportional to 16,357.50, 22,573.38 and 8,905.50

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Solution

The fourth proportional to 16,357.50, 22,573.38 and 8,905.50 is: 12,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.50 : 22,573.38 = 8,905.50 : x
  2. Step 2: Convert to fraction form
    16,357.50/22,573.38 = 8,905.50/x
  3. Step 3: Cross multiply
    16,357.50x = 22,573.38 × 8,905.50
  4. Step 4: Simplify right side
    16,357.50x = 201,027,235.59
  5. Step 5: Solve for x
    x = 201,027,235.59/16,357.50
  6. Step 6: Final answer
    x = 12,289.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.