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Finding the Fourth Proportional to 26,702.29, 36,847.74 and 14,764.96

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Solution

The fourth proportional to 26,702.29, 36,847.74 and 14,764.96 is: 20,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,702.29 : 36,847.74 = 14,764.96 : x
  2. Step 2: Convert to fraction form
    26,702.29/36,847.74 = 14,764.96/x
  3. Step 3: Cross multiply
    26,702.29x = 36,847.74 × 14,764.96
  4. Step 4: Simplify right side
    26,702.29x = 544,055,407.19
  5. Step 5: Solve for x
    x = 544,055,407.19/26,702.29
  6. Step 6: Final answer
    x = 20,374.86

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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.