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Finding the Fourth Proportional to 26,165.10, 36,107.65 and 14,228.44

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Solution

The fourth proportional to 26,165.10, 36,107.65 and 14,228.44 is: 19,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.10 : 36,107.65 = 14,228.44 : x
  2. Step 2: Convert to fraction form
    26,165.10/36,107.65 = 14,228.44/x
  3. Step 3: Cross multiply
    26,165.10x = 36,107.65 × 14,228.44
  4. Step 4: Simplify right side
    26,165.10x = 513,755,531.57
  5. Step 5: Solve for x
    x = 513,755,531.57/26,165.10
  6. Step 6: Final answer
    x = 19,635.14

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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.