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Finding the Fourth Proportional to 27,419.78, 41,074.86 and 12,608.40

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Solution

The fourth proportional to 27,419.78, 41,074.86 and 12,608.40 is: 18,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.78 : 41,074.86 = 12,608.40 : x
  2. Step 2: Convert to fraction form
    27,419.78/41,074.86 = 12,608.40/x
  3. Step 3: Cross multiply
    27,419.78x = 41,074.86 × 12,608.40
  4. Step 4: Simplify right side
    27,419.78x = 517,888,264.82
  5. Step 5: Solve for x
    x = 517,888,264.82/27,419.78
  6. Step 6: Final answer
    x = 18,887.40

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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.