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Finding the Fourth Proportional to 27,222.39, 40,835.91 and 7,500.96

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Solution

The fourth proportional to 27,222.39, 40,835.91 and 7,500.96 is: 11,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.39 : 40,835.91 = 7,500.96 : x
  2. Step 2: Convert to fraction form
    27,222.39/40,835.91 = 7,500.96/x
  3. Step 3: Cross multiply
    27,222.39x = 40,835.91 × 7,500.96
  4. Step 4: Simplify right side
    27,222.39x = 306,308,527.47
  5. Step 5: Solve for x
    x = 306,308,527.47/27,222.39
  6. Step 6: Final answer
    x = 11,252.08

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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.