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Finding the Fourth Proportional to 26,219.70, 36,183.14 and 14,283

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Solution

The fourth proportional to 26,219.70, 36,183.14 and 14,283 is: 19,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,219.70 : 36,183.14 = 14,283 : x
  2. Step 2: Convert to fraction form
    26,219.70/36,183.14 = 14,283/x
  3. Step 3: Cross multiply
    26,219.70x = 36,183.14 × 14,283
  4. Step 4: Simplify right side
    26,219.70x = 516,803,788.62
  5. Step 5: Solve for x
    x = 516,803,788.62/26,219.70
  6. Step 6: Final answer
    x = 19,710.51

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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.