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Finding the Fourth Proportional to 27,362.16, 41,048.76 and 8,645.12

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Solution

The fourth proportional to 27,362.16, 41,048.76 and 8,645.12 is: 12,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,362.16 : 41,048.76 = 8,645.12 : x
  2. Step 2: Convert to fraction form
    27,362.16/41,048.76 = 8,645.12/x
  3. Step 3: Cross multiply
    27,362.16x = 41,048.76 × 8,645.12
  4. Step 4: Simplify right side
    27,362.16x = 354,871,456.05
  5. Step 5: Solve for x
    x = 354,871,456.05/27,362.16
  6. Step 6: Final answer
    x = 12,969.42

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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.