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Finding the Fourth Proportional to 27,750.96, 41,628.15 and 10,233

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Solution

The fourth proportional to 27,750.96, 41,628.15 and 10,233 is: 15,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,750.96 : 41,628.15 = 10,233 : x
  2. Step 2: Convert to fraction form
    27,750.96/41,628.15 = 10,233/x
  3. Step 3: Cross multiply
    27,750.96x = 41,628.15 × 10,233
  4. Step 4: Simplify right side
    27,750.96x = 425,980,858.95
  5. Step 5: Solve for x
    x = 425,980,858.95/27,750.96
  6. Step 6: Final answer
    x = 15,350.13

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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.