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Finding the Fourth Proportional to 27,425.18, 41,137.74 and 9,894.98

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Solution

The fourth proportional to 27,425.18, 41,137.74 and 9,894.98 is: 14,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.18 : 41,137.74 = 9,894.98 : x
  2. Step 2: Convert to fraction form
    27,425.18/41,137.74 = 9,894.98/x
  3. Step 3: Cross multiply
    27,425.18x = 41,137.74 × 9,894.98
  4. Step 4: Simplify right side
    27,425.18x = 407,057,217.39
  5. Step 5: Solve for x
    x = 407,057,217.39/27,425.18
  6. Step 6: Final answer
    x = 14,842.46

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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.