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Finding the Fourth Proportional to 27,223.66, 40,828.12 and 7,497.52

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Solution

The fourth proportional to 27,223.66, 40,828.12 and 7,497.52 is: 11,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.66 : 40,828.12 = 7,497.52 : x
  2. Step 2: Convert to fraction form
    27,223.66/40,828.12 = 7,497.52/x
  3. Step 3: Cross multiply
    27,223.66x = 40,828.12 × 7,497.52
  4. Step 4: Simplify right side
    27,223.66x = 306,109,646.26
  5. Step 5: Solve for x
    x = 306,109,646.26/27,223.66
  6. Step 6: Final answer
    x = 11,244.25

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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.