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Finding the Fourth Proportional to 18,919.12, 26,105.16 and 10,534

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Solution

The fourth proportional to 18,919.12, 26,105.16 and 10,534 is: 14,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919.12 : 26,105.16 = 10,534 : x
  2. Step 2: Convert to fraction form
    18,919.12/26,105.16 = 10,534/x
  3. Step 3: Cross multiply
    18,919.12x = 26,105.16 × 10,534
  4. Step 4: Simplify right side
    18,919.12x = 274,991,755.44
  5. Step 5: Solve for x
    x = 274,991,755.44/18,919.12
  6. Step 6: Final answer
    x = 14,535.12

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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.