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Finding the Fourth Proportional to 27,784.38, 38,340.03 and 15,684.21

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Solution

The fourth proportional to 27,784.38, 38,340.03 and 15,684.21 is: 21,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.38 : 38,340.03 = 15,684.21 : x
  2. Step 2: Convert to fraction form
    27,784.38/38,340.03 = 15,684.21/x
  3. Step 3: Cross multiply
    27,784.38x = 38,340.03 × 15,684.21
  4. Step 4: Simplify right side
    27,784.38x = 601,333,081.93
  5. Step 5: Solve for x
    x = 601,333,081.93/27,784.38
  6. Step 6: Final answer
    x = 21,642.85

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Why These Related Problems?

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