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Finding the Fourth Proportional to 18,551.70, 27,827.82 and 6,071.63

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Solution

The fourth proportional to 18,551.70, 27,827.82 and 6,071.63 is: 9,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.70 : 27,827.82 = 6,071.63 : x
  2. Step 2: Convert to fraction form
    18,551.70/27,827.82 = 6,071.63/x
  3. Step 3: Cross multiply
    18,551.70x = 27,827.82 × 6,071.63
  4. Step 4: Simplify right side
    18,551.70x = 168,960,087.61
  5. Step 5: Solve for x
    x = 168,960,087.61/18,551.70
  6. Step 6: Final answer
    x = 9,107.53

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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.