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Finding the Fourth Proportional to 27,829.59, 41,748.27 and 9,111.09

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Solution

The fourth proportional to 27,829.59, 41,748.27 and 9,111.09 is: 13,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.59 : 41,748.27 = 9,111.09 : x
  2. Step 2: Convert to fraction form
    27,829.59/41,748.27 = 9,111.09/x
  3. Step 3: Cross multiply
    27,829.59x = 41,748.27 × 9,111.09
  4. Step 4: Simplify right side
    27,829.59x = 380,372,245.31
  5. Step 5: Solve for x
    x = 380,372,245.31/27,829.59
  6. Step 6: Final answer
    x = 13,667.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.