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Finding the Fourth Proportional to 22,033.71, 30,406.53 and 11,962.14

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Solution

The fourth proportional to 22,033.71, 30,406.53 and 11,962.14 is: 16,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.71 : 30,406.53 = 11,962.14 : x
  2. Step 2: Convert to fraction form
    22,033.71/30,406.53 = 11,962.14/x
  3. Step 3: Cross multiply
    22,033.71x = 30,406.53 × 11,962.14
  4. Step 4: Simplify right side
    22,033.71x = 363,727,168.77
  5. Step 5: Solve for x
    x = 363,727,168.77/22,033.71
  6. Step 6: Final answer
    x = 16,507.76

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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.