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Finding the Fourth Proportional to 27,899.84, 41,827.88 and 13,101.14

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Solution

The fourth proportional to 27,899.84, 41,827.88 and 13,101.14 is: 19,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.84 : 41,827.88 = 13,101.14 : x
  2. Step 2: Convert to fraction form
    27,899.84/41,827.88 = 13,101.14/x
  3. Step 3: Cross multiply
    27,899.84x = 41,827.88 × 13,101.14
  4. Step 4: Simplify right side
    27,899.84x = 547,992,911.78
  5. Step 5: Solve for x
    x = 547,992,911.78/27,899.84
  6. Step 6: Final answer
    x = 19,641.44

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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.