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Finding the Fourth Proportional to 27,105.22, 40,661.71 and 8,386.72

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Solution

The fourth proportional to 27,105.22, 40,661.71 and 8,386.72 is: 12,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.22 : 40,661.71 = 8,386.72 : x
  2. Step 2: Convert to fraction form
    27,105.22/40,661.71 = 8,386.72/x
  3. Step 3: Cross multiply
    27,105.22x = 40,661.71 × 8,386.72
  4. Step 4: Simplify right side
    27,105.22x = 341,018,306.50
  5. Step 5: Solve for x
    x = 341,018,306.50/27,105.22
  6. Step 6: Final answer
    x = 12,581.28

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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.