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Finding the Fourth Proportional to 22,690.52, 34,041.12 and 22,314

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Solution

The fourth proportional to 22,690.52, 34,041.12 and 22,314 is: 33,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,690.52 : 34,041.12 = 22,314 : x
  2. Step 2: Convert to fraction form
    22,690.52/34,041.12 = 22,314/x
  3. Step 3: Cross multiply
    22,690.52x = 34,041.12 × 22,314
  4. Step 4: Simplify right side
    22,690.52x = 759,593,551.68
  5. Step 5: Solve for x
    x = 759,593,551.68/22,690.52
  6. Step 6: Final answer
    x = 33,476.25

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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.