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Finding the Fourth Proportional to 27,784.62, 38,341.83 and 15,851.82

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Solution

The fourth proportional to 27,784.62, 38,341.83 and 15,851.82 is: 21,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.62 : 38,341.83 = 15,851.82 : x
  2. Step 2: Convert to fraction form
    27,784.62/38,341.83 = 15,851.82/x
  3. Step 3: Cross multiply
    27,784.62x = 38,341.83 × 15,851.82
  4. Step 4: Simplify right side
    27,784.62x = 607,787,787.63
  5. Step 5: Solve for x
    x = 607,787,787.63/27,784.62
  6. Step 6: Final answer
    x = 21,874.97

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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.