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Finding the Fourth Proportional to 27,567.84, 41,353.04 and 8,848.64

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Solution

The fourth proportional to 27,567.84, 41,353.04 and 8,848.64 is: 13,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567.84 : 41,353.04 = 8,848.64 : x
  2. Step 2: Convert to fraction form
    27,567.84/41,353.04 = 8,848.64/x
  3. Step 3: Cross multiply
    27,567.84x = 41,353.04 × 8,848.64
  4. Step 4: Simplify right side
    27,567.84x = 365,918,163.87
  5. Step 5: Solve for x
    x = 365,918,163.87/27,567.84
  6. Step 6: Final answer
    x = 13,273.37

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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.