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Finding the Fourth Proportional to 27,803, 38,368.41 and 16,625

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Solution

The fourth proportional to 27,803, 38,368.41 and 16,625 is: 22,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803 : 38,368.41 = 16,625 : x
  2. Step 2: Convert to fraction form
    27,803/38,368.41 = 16,625/x
  3. Step 3: Cross multiply
    27,803x = 38,368.41 × 16,625
  4. Step 4: Simplify right side
    27,803x = 637,874,816.25
  5. Step 5: Solve for x
    x = 637,874,816.25/27,803
  6. Step 6: Final answer
    x = 22,942.66

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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.