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Finding the Fourth Proportional to 26,138.50, 36,071.43 and 14,202.02

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Solution

The fourth proportional to 26,138.50, 36,071.43 and 14,202.02 is: 19,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.50 : 36,071.43 = 14,202.02 : x
  2. Step 2: Convert to fraction form
    26,138.50/36,071.43 = 14,202.02/x
  3. Step 3: Cross multiply
    26,138.50x = 36,071.43 × 14,202.02
  4. Step 4: Simplify right side
    26,138.50x = 512,287,170.29
  5. Step 5: Solve for x
    x = 512,287,170.29/26,138.50
  6. Step 6: Final answer
    x = 19,598.95

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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.