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Finding the Fourth Proportional to 27,872.02, 38,463 and 15,296.77

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Solution

The fourth proportional to 27,872.02, 38,463 and 15,296.77 is: 21,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.02 : 38,463 = 15,296.77 : x
  2. Step 2: Convert to fraction form
    27,872.02/38,463 = 15,296.77/x
  3. Step 3: Cross multiply
    27,872.02x = 38,463 × 15,296.77
  4. Step 4: Simplify right side
    27,872.02x = 588,359,664.51
  5. Step 5: Solve for x
    x = 588,359,664.51/27,872.02
  6. Step 6: Final answer
    x = 21,109.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.