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Finding the Fourth Proportional to 26,138.52, 36,071.49 and 14,202.06

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Solution

The fourth proportional to 26,138.52, 36,071.49 and 14,202.06 is: 19,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.52 : 36,071.49 = 14,202.06 : x
  2. Step 2: Convert to fraction form
    26,138.52/36,071.49 = 14,202.06/x
  3. Step 3: Cross multiply
    26,138.52x = 36,071.49 × 14,202.06
  4. Step 4: Simplify right side
    26,138.52x = 512,289,424.80
  5. Step 5: Solve for x
    x = 512,289,424.80/26,138.52
  6. Step 6: Final answer
    x = 19,599.02

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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.