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Finding the Fourth Proportional to 27,136.60, 40,712.10 and 9,604.60

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Solution

The fourth proportional to 27,136.60, 40,712.10 and 9,604.60 is: 14,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.60 : 40,712.10 = 9,604.60 : x
  2. Step 2: Convert to fraction form
    27,136.60/40,712.10 = 9,604.60/x
  3. Step 3: Cross multiply
    27,136.60x = 40,712.10 × 9,604.60
  4. Step 4: Simplify right side
    27,136.60x = 391,023,435.66
  5. Step 5: Solve for x
    x = 391,023,435.66/27,136.60
  6. Step 6: Final answer
    x = 14,409.45

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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.