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Finding the Fourth Proportional to 27,679.98, 41,487.47 and 12,857.66

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Solution

The fourth proportional to 27,679.98, 41,487.47 and 12,857.66 is: 19,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679.98 : 41,487.47 = 12,857.66 : x
  2. Step 2: Convert to fraction form
    27,679.98/41,487.47 = 12,857.66/x
  3. Step 3: Cross multiply
    27,679.98x = 41,487.47 × 12,857.66
  4. Step 4: Simplify right side
    27,679.98x = 533,431,783.52
  5. Step 5: Solve for x
    x = 533,431,783.52/27,679.98
  6. Step 6: Final answer
    x = 19,271.39

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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.