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Finding the Fourth Proportional to 27,208.91, 40,803.65 and 9,675.25

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Solution

The fourth proportional to 27,208.91, 40,803.65 and 9,675.25 is: 14,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.91 : 40,803.65 = 9,675.25 : x
  2. Step 2: Convert to fraction form
    27,208.91/40,803.65 = 9,675.25/x
  3. Step 3: Cross multiply
    27,208.91x = 40,803.65 × 9,675.25
  4. Step 4: Simplify right side
    27,208.91x = 394,785,400.56
  5. Step 5: Solve for x
    x = 394,785,400.56/27,208.91
  6. Step 6: Final answer
    x = 14,509.41

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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.