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Finding the Fourth Proportional to 17,702.80, 26,548.08 and 7,848.97

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Solution

The fourth proportional to 17,702.80, 26,548.08 and 7,848.97 is: 11,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.80 : 26,548.08 = 7,848.97 : x
  2. Step 2: Convert to fraction form
    17,702.80/26,548.08 = 7,848.97/x
  3. Step 3: Cross multiply
    17,702.80x = 26,548.08 × 7,848.97
  4. Step 4: Simplify right side
    17,702.80x = 208,375,083.48
  5. Step 5: Solve for x
    x = 208,375,083.48/17,702.80
  6. Step 6: Final answer
    x = 11,770.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.