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Finding the Fourth Proportional to 18,259.50, 27,372.82 and 6,564.50

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Solution

The fourth proportional to 18,259.50, 27,372.82 and 6,564.50 is: 9,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,259.50 : 27,372.82 = 6,564.50 : x
  2. Step 2: Convert to fraction form
    18,259.50/27,372.82 = 6,564.50/x
  3. Step 3: Cross multiply
    18,259.50x = 27,372.82 × 6,564.50
  4. Step 4: Simplify right side
    18,259.50x = 179,688,876.89
  5. Step 5: Solve for x
    x = 179,688,876.89/18,259.50
  6. Step 6: Final answer
    x = 9,840.84

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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.