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Finding the Fourth Proportional to 12,274.77, 16,950.02 and 9,125.49

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Solution

The fourth proportional to 12,274.77, 16,950.02 and 9,125.49 is: 12,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.77 : 16,950.02 = 9,125.49 : x
  2. Step 2: Convert to fraction form
    12,274.77/16,950.02 = 9,125.49/x
  3. Step 3: Cross multiply
    12,274.77x = 16,950.02 × 9,125.49
  4. Step 4: Simplify right side
    12,274.77x = 154,677,192.38
  5. Step 5: Solve for x
    x = 154,677,192.38/12,274.77
  6. Step 6: Final answer
    x = 12,601.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.