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Finding the Fourth Proportional to 22,293.64, 30,764.04 and 12,222.10

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Solution

The fourth proportional to 22,293.64, 30,764.04 and 12,222.10 is: 16,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,293.64 : 30,764.04 = 12,222.10 : x
  2. Step 2: Convert to fraction form
    22,293.64/30,764.04 = 12,222.10/x
  3. Step 3: Cross multiply
    22,293.64x = 30,764.04 × 12,222.10
  4. Step 4: Simplify right side
    22,293.64x = 376,001,173.28
  5. Step 5: Solve for x
    x = 376,001,173.28/22,293.64
  6. Step 6: Final answer
    x = 16,865.85

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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.