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Finding the Fourth Proportional to 18,441, 27,661.50 and 6,129

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Solution

The fourth proportional to 18,441, 27,661.50 and 6,129 is: 9,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,441 : 27,661.50 = 6,129 : x
  2. Step 2: Convert to fraction form
    18,441/27,661.50 = 6,129/x
  3. Step 3: Cross multiply
    18,441x = 27,661.50 × 6,129
  4. Step 4: Simplify right side
    18,441x = 169,537,333.50
  5. Step 5: Solve for x
    x = 169,537,333.50/18,441
  6. Step 6: Final answer
    x = 9,193.50

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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.