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Finding the Fourth Proportional to 27,901.84, 41,830.89 and 13,103.14

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Solution

The fourth proportional to 27,901.84, 41,830.89 and 13,103.14 is: 19,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,901.84 : 41,830.89 = 13,103.14 : x
  2. Step 2: Convert to fraction form
    27,901.84/41,830.89 = 13,103.14/x
  3. Step 3: Cross multiply
    27,901.84x = 41,830.89 × 13,103.14
  4. Step 4: Simplify right side
    27,901.84x = 548,116,007.99
  5. Step 5: Solve for x
    x = 548,116,007.99/27,901.84
  6. Step 6: Final answer
    x = 19,644.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.