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Finding the Fourth Proportional to 22,184.68, 33,274.74 and 7,392

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Solution

The fourth proportional to 22,184.68, 33,274.74 and 7,392 is: 11,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.68 : 33,274.74 = 7,392 : x
  2. Step 2: Convert to fraction form
    22,184.68/33,274.74 = 7,392/x
  3. Step 3: Cross multiply
    22,184.68x = 33,274.74 × 7,392
  4. Step 4: Simplify right side
    22,184.68x = 245,966,878.08
  5. Step 5: Solve for x
    x = 245,966,878.08/22,184.68
  6. Step 6: Final answer
    x = 11,087.24

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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.