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Finding the Fourth Proportional to 27,197.50, 40,802.10 and 8,477.14

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Solution

The fourth proportional to 27,197.50, 40,802.10 and 8,477.14 is: 12,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.50 : 40,802.10 = 8,477.14 : x
  2. Step 2: Convert to fraction form
    27,197.50/40,802.10 = 8,477.14/x
  3. Step 3: Cross multiply
    27,197.50x = 40,802.10 × 8,477.14
  4. Step 4: Simplify right side
    27,197.50x = 345,885,113.99
  5. Step 5: Solve for x
    x = 345,885,113.99/27,197.50
  6. Step 6: Final answer
    x = 12,717.53

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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.