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Finding the Fourth Proportional to 27,663, 41,495.22 and 9,195

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Solution

The fourth proportional to 27,663, 41,495.22 and 9,195 is: 13,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663 : 41,495.22 = 9,195 : x
  2. Step 2: Convert to fraction form
    27,663/41,495.22 = 9,195/x
  3. Step 3: Cross multiply
    27,663x = 41,495.22 × 9,195
  4. Step 4: Simplify right side
    27,663x = 381,548,547.90
  5. Step 5: Solve for x
    x = 381,548,547.90/27,663
  6. Step 6: Final answer
    x = 13,792.74

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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.