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Finding the Fourth Proportional to 18,129, 27,193.68 and 6,442.68

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Solution

The fourth proportional to 18,129, 27,193.68 and 6,442.68 is: 9,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129 : 27,193.68 = 6,442.68 : x
  2. Step 2: Convert to fraction form
    18,129/27,193.68 = 6,442.68/x
  3. Step 3: Cross multiply
    18,129x = 27,193.68 × 6,442.68
  4. Step 4: Simplify right side
    18,129x = 175,200,178.26
  5. Step 5: Solve for x
    x = 175,200,178.26/18,129
  6. Step 6: Final answer
    x = 9,664.08

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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.