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Finding the Fourth Proportional to 27,803.39, 38,369.42 and 15,702.90

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Solution

The fourth proportional to 27,803.39, 38,369.42 and 15,702.90 is: 21,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.39 : 38,369.42 = 15,702.90 : x
  2. Step 2: Convert to fraction form
    27,803.39/38,369.42 = 15,702.90/x
  3. Step 3: Cross multiply
    27,803.39x = 38,369.42 × 15,702.90
  4. Step 4: Simplify right side
    27,803.39x = 602,511,207.84
  5. Step 5: Solve for x
    x = 602,511,207.84/27,803.39
  6. Step 6: Final answer
    x = 21,670.42

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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.