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Finding the Fourth Proportional to 22,364.52, 33,568.65 and 13,616.52

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Solution

The fourth proportional to 22,364.52, 33,568.65 and 13,616.52 is: 20,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.52 : 33,568.65 = 13,616.52 : x
  2. Step 2: Convert to fraction form
    22,364.52/33,568.65 = 13,616.52/x
  3. Step 3: Cross multiply
    22,364.52x = 33,568.65 × 13,616.52
  4. Step 4: Simplify right side
    22,364.52x = 457,088,194.10
  5. Step 5: Solve for x
    x = 457,088,194.10/22,364.52
  6. Step 6: Final answer
    x = 20,438.10

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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.