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Finding the Fourth Proportional to 27,145.94, 40,716.98 and 8,425.53

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Solution

The fourth proportional to 27,145.94, 40,716.98 and 8,425.53 is: 12,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.94 : 40,716.98 = 8,425.53 : x
  2. Step 2: Convert to fraction form
    27,145.94/40,716.98 = 8,425.53/x
  3. Step 3: Cross multiply
    27,145.94x = 40,716.98 × 8,425.53
  4. Step 4: Simplify right side
    27,145.94x = 343,062,136.50
  5. Step 5: Solve for x
    x = 343,062,136.50/27,145.94
  6. Step 6: Final answer
    x = 12,637.70

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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.