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Finding the Fourth Proportional to 27,333, 40,995.84 and 10,681.44

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Solution

The fourth proportional to 27,333, 40,995.84 and 10,681.44 is: 16,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,333 : 40,995.84 = 10,681.44 : x
  2. Step 2: Convert to fraction form
    27,333/40,995.84 = 10,681.44/x
  3. Step 3: Cross multiply
    27,333x = 40,995.84 × 10,681.44
  4. Step 4: Simplify right side
    27,333x = 437,894,605.21
  5. Step 5: Solve for x
    x = 437,894,605.21/27,333
  6. Step 6: Final answer
    x = 16,020.73

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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.