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Finding the Fourth Proportional to 27,427.69, 41,141.49 and 9,897.49

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Solution

The fourth proportional to 27,427.69, 41,141.49 and 9,897.49 is: 14,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.69 : 41,141.49 = 9,897.49 : x
  2. Step 2: Convert to fraction form
    27,427.69/41,141.49 = 9,897.49/x
  3. Step 3: Cross multiply
    27,427.69x = 41,141.49 × 9,897.49
  4. Step 4: Simplify right side
    27,427.69x = 407,197,485.86
  5. Step 5: Solve for x
    x = 407,197,485.86/27,427.69
  6. Step 6: Final answer
    x = 14,846.22

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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.