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Finding the Fourth Proportional to 18,348.61, 27,522.87 and 5,201

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Solution

The fourth proportional to 18,348.61, 27,522.87 and 5,201 is: 7,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,348.61 : 27,522.87 = 5,201 : x
  2. Step 2: Convert to fraction form
    18,348.61/27,522.87 = 5,201/x
  3. Step 3: Cross multiply
    18,348.61x = 27,522.87 × 5,201
  4. Step 4: Simplify right side
    18,348.61x = 143,146,446.87
  5. Step 5: Solve for x
    x = 143,146,446.87/18,348.61
  6. Step 6: Final answer
    x = 7,801.49

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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.