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Finding the Fourth Proportional to 27,677.84, 38,185.44 and 21,306.38

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Solution

The fourth proportional to 27,677.84, 38,185.44 and 21,306.38 is: 29,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.84 : 38,185.44 = 21,306.38 : x
  2. Step 2: Convert to fraction form
    27,677.84/38,185.44 = 21,306.38/x
  3. Step 3: Cross multiply
    27,677.84x = 38,185.44 × 21,306.38
  4. Step 4: Simplify right side
    27,677.84x = 813,593,495.11
  5. Step 5: Solve for x
    x = 813,593,495.11/27,677.84
  6. Step 6: Final answer
    x = 29,395.12

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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.