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Finding the Fourth Proportional to 27,222.65, 40,834.19 and 7,502.29

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Solution

The fourth proportional to 27,222.65, 40,834.19 and 7,502.29 is: 11,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.65 : 40,834.19 = 7,502.29 : x
  2. Step 2: Convert to fraction form
    27,222.65/40,834.19 = 7,502.29/x
  3. Step 3: Cross multiply
    27,222.65x = 40,834.19 × 7,502.29
  4. Step 4: Simplify right side
    27,222.65x = 306,349,851.97
  5. Step 5: Solve for x
    x = 306,349,851.97/27,222.65
  6. Step 6: Final answer
    x = 11,253.49

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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.