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Finding the Fourth Proportional to 16,478.14, 22,739.72 and 8,924.30

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Solution

The fourth proportional to 16,478.14, 22,739.72 and 8,924.30 is: 12,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.14 : 22,739.72 = 8,924.30 : x
  2. Step 2: Convert to fraction form
    16,478.14/22,739.72 = 8,924.30/x
  3. Step 3: Cross multiply
    16,478.14x = 22,739.72 × 8,924.30
  4. Step 4: Simplify right side
    16,478.14x = 202,936,105.51
  5. Step 5: Solve for x
    x = 202,936,105.51/16,478.14
  6. Step 6: Final answer
    x = 12,315.47

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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.