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Finding the Fourth Proportional to 27,223.52, 40,835.27 and 7,502.09

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Solution

The fourth proportional to 27,223.52, 40,835.27 and 7,502.09 is: 11,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.52 : 40,835.27 = 7,502.09 : x
  2. Step 2: Convert to fraction form
    27,223.52/40,835.27 = 7,502.09/x
  3. Step 3: Cross multiply
    27,223.52x = 40,835.27 × 7,502.09
  4. Step 4: Simplify right side
    27,223.52x = 306,349,685.29
  5. Step 5: Solve for x
    x = 306,349,685.29/27,223.52
  6. Step 6: Final answer
    x = 11,253.13

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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.