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Finding the Fourth Proportional to 22,276.72, 30,742.02 and 12,206.08

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Solution

The fourth proportional to 22,276.72, 30,742.02 and 12,206.08 is: 16,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276.72 : 30,742.02 = 12,206.08 : x
  2. Step 2: Convert to fraction form
    22,276.72/30,742.02 = 12,206.08/x
  3. Step 3: Cross multiply
    22,276.72x = 30,742.02 × 12,206.08
  4. Step 4: Simplify right side
    22,276.72x = 375,239,555.48
  5. Step 5: Solve for x
    x = 375,239,555.48/22,276.72
  6. Step 6: Final answer
    x = 16,844.47

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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.