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Finding the Fourth Proportional to 26,167.34, 36,110.74 and 14,230.70

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Solution

The fourth proportional to 26,167.34, 36,110.74 and 14,230.70 is: 19,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,167.34 : 36,110.74 = 14,230.70 : x
  2. Step 2: Convert to fraction form
    26,167.34/36,110.74 = 14,230.70/x
  3. Step 3: Cross multiply
    26,167.34x = 36,110.74 × 14,230.70
  4. Step 4: Simplify right side
    26,167.34x = 513,881,107.72
  5. Step 5: Solve for x
    x = 513,881,107.72/26,167.34
  6. Step 6: Final answer
    x = 19,638.26

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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.