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Finding the Fourth Proportional to 27,563.93, 41,339.59 and 13,509.89

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Solution

The fourth proportional to 27,563.93, 41,339.59 and 13,509.89 is: 20,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,563.93 : 41,339.59 = 13,509.89 : x
  2. Step 2: Convert to fraction form
    27,563.93/41,339.59 = 13,509.89/x
  3. Step 3: Cross multiply
    27,563.93x = 41,339.59 × 13,509.89
  4. Step 4: Simplify right side
    27,563.93x = 558,493,073.07
  5. Step 5: Solve for x
    x = 558,493,073.07/27,563.93
  6. Step 6: Final answer
    x = 20,261.74

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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.