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Finding the Fourth Proportional to 18,024.26, 27,031.62 and 12,400.74

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Solution

The fourth proportional to 18,024.26, 27,031.62 and 12,400.74 is: 18,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.26 : 27,031.62 = 12,400.74 : x
  2. Step 2: Convert to fraction form
    18,024.26/27,031.62 = 12,400.74/x
  3. Step 3: Cross multiply
    18,024.26x = 27,031.62 × 12,400.74
  4. Step 4: Simplify right side
    18,024.26x = 335,212,091.40
  5. Step 5: Solve for x
    x = 335,212,091.40/18,024.26
  6. Step 6: Final answer
    x = 18,597.83

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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.