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Finding the Fourth Proportional to 18,262.84, 27,392.13 and 4,935.20

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Solution

The fourth proportional to 18,262.84, 27,392.13 and 4,935.20 is: 7,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262.84 : 27,392.13 = 4,935.20 : x
  2. Step 2: Convert to fraction form
    18,262.84/27,392.13 = 4,935.20/x
  3. Step 3: Cross multiply
    18,262.84x = 27,392.13 × 4,935.20
  4. Step 4: Simplify right side
    18,262.84x = 135,185,611.64
  5. Step 5: Solve for x
    x = 135,185,611.64/18,262.84
  6. Step 6: Final answer
    x = 7,402.22

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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.