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Finding the Fourth Proportional to 27,635.70, 41,459.46 and 9,867.23

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Solution

The fourth proportional to 27,635.70, 41,459.46 and 9,867.23 is: 14,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.70 : 41,459.46 = 9,867.23 : x
  2. Step 2: Convert to fraction form
    27,635.70/41,459.46 = 9,867.23/x
  3. Step 3: Cross multiply
    27,635.70x = 41,459.46 × 9,867.23
  4. Step 4: Simplify right side
    27,635.70x = 409,090,027.50
  5. Step 5: Solve for x
    x = 409,090,027.50/27,635.70
  6. Step 6: Final answer
    x = 14,802.96

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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.