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Finding the Fourth Proportional to 22,346.50, 30,838.14 and 12,274.94

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Solution

The fourth proportional to 22,346.50, 30,838.14 and 12,274.94 is: 16,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.50 : 30,838.14 = 12,274.94 : x
  2. Step 2: Convert to fraction form
    22,346.50/30,838.14 = 12,274.94/x
  3. Step 3: Cross multiply
    22,346.50x = 30,838.14 × 12,274.94
  4. Step 4: Simplify right side
    22,346.50x = 378,536,164.02
  5. Step 5: Solve for x
    x = 378,536,164.02/22,346.50
  6. Step 6: Final answer
    x = 16,939.40

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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.