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Finding the Fourth Proportional to 27,564.76, 41,347.26 and 8,847.64

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Solution

The fourth proportional to 27,564.76, 41,347.26 and 8,847.64 is: 13,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.76 : 41,347.26 = 8,847.64 : x
  2. Step 2: Convert to fraction form
    27,564.76/41,347.26 = 8,847.64/x
  3. Step 3: Cross multiply
    27,564.76x = 41,347.26 × 8,847.64
  4. Step 4: Simplify right side
    27,564.76x = 365,825,671.47
  5. Step 5: Solve for x
    x = 365,825,671.47/27,564.76
  6. Step 6: Final answer
    x = 13,271.50

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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.