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Finding the Fourth Proportional to 27,832.61, 38,411.75 and 15,897.74

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Solution

The fourth proportional to 27,832.61, 38,411.75 and 15,897.74 is: 21,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.61 : 38,411.75 = 15,897.74 : x
  2. Step 2: Convert to fraction form
    27,832.61/38,411.75 = 15,897.74/x
  3. Step 3: Cross multiply
    27,832.61x = 38,411.75 × 15,897.74
  4. Step 4: Simplify right side
    27,832.61x = 610,659,862.13
  5. Step 5: Solve for x
    x = 610,659,862.13/27,832.61
  6. Step 6: Final answer
    x = 21,940.44

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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.