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Finding the Fourth Proportional to 16,200.92, 24,274.01 and 9,947.91

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Solution

The fourth proportional to 16,200.92, 24,274.01 and 9,947.91 is: 14,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.92 : 24,274.01 = 9,947.91 : x
  2. Step 2: Convert to fraction form
    16,200.92/24,274.01 = 9,947.91/x
  3. Step 3: Cross multiply
    16,200.92x = 24,274.01 × 9,947.91
  4. Step 4: Simplify right side
    16,200.92x = 241,475,617.08
  5. Step 5: Solve for x
    x = 241,475,617.08/16,200.92
  6. Step 6: Final answer
    x = 14,905.06

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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.