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Finding the Fourth Proportional to 22,369.54, 33,529.71 and 9,214.74

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Solution

The fourth proportional to 22,369.54, 33,529.71 and 9,214.74 is: 13,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.54 : 33,529.71 = 9,214.74 : x
  2. Step 2: Convert to fraction form
    22,369.54/33,529.71 = 9,214.74/x
  3. Step 3: Cross multiply
    22,369.54x = 33,529.71 × 9,214.74
  4. Step 4: Simplify right side
    22,369.54x = 308,967,346.20
  5. Step 5: Solve for x
    x = 308,967,346.20/22,369.54
  6. Step 6: Final answer
    x = 13,811.97

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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.