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Finding the Fourth Proportional to 27,759, 38,307.42 and 15,183.75

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Solution

The fourth proportional to 27,759, 38,307.42 and 15,183.75 is: 20,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759 : 38,307.42 = 15,183.75 : x
  2. Step 2: Convert to fraction form
    27,759/38,307.42 = 15,183.75/x
  3. Step 3: Cross multiply
    27,759x = 38,307.42 × 15,183.75
  4. Step 4: Simplify right side
    27,759x = 581,650,288.43
  5. Step 5: Solve for x
    x = 581,650,288.43/27,759
  6. Step 6: Final answer
    x = 20,953.58

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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.