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Finding the Fourth Proportional to 27,196.65, 40,795.98 and 7,476.75

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Solution

The fourth proportional to 27,196.65, 40,795.98 and 7,476.75 is: 11,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.65 : 40,795.98 = 7,476.75 : x
  2. Step 2: Convert to fraction form
    27,196.65/40,795.98 = 7,476.75/x
  3. Step 3: Cross multiply
    27,196.65x = 40,795.98 × 7,476.75
  4. Step 4: Simplify right side
    27,196.65x = 305,021,343.47
  5. Step 5: Solve for x
    x = 305,021,343.47/27,196.65
  6. Step 6: Final answer
    x = 11,215.40

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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.