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Finding the Fourth Proportional to 26,702.86, 36,848.46 and 14,765.48

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Solution

The fourth proportional to 26,702.86, 36,848.46 and 14,765.48 is: 20,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,702.86 : 36,848.46 = 14,765.48 : x
  2. Step 2: Convert to fraction form
    26,702.86/36,848.46 = 14,765.48/x
  3. Step 3: Cross multiply
    26,702.86x = 36,848.46 × 14,765.48
  4. Step 4: Simplify right side
    26,702.86x = 544,085,199.16
  5. Step 5: Solve for x
    x = 544,085,199.16/26,702.86
  6. Step 6: Final answer
    x = 20,375.54

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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.