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Finding the Fourth Proportional to 26,157.82, 36,098.50 and 14,221.96

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Solution

The fourth proportional to 26,157.82, 36,098.50 and 14,221.96 is: 19,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,157.82 : 36,098.50 = 14,221.96 : x
  2. Step 2: Convert to fraction form
    26,157.82/36,098.50 = 14,221.96/x
  3. Step 3: Cross multiply
    26,157.82x = 36,098.50 × 14,221.96
  4. Step 4: Simplify right side
    26,157.82x = 513,391,423.06
  5. Step 5: Solve for x
    x = 513,391,423.06/26,157.82
  6. Step 6: Final answer
    x = 19,626.69

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