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Finding the Fourth Proportional to 11,509.84, 17,264.44 and 8,049.36

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Solution

The fourth proportional to 11,509.84, 17,264.44 and 8,049.36 is: 12,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.84 : 17,264.44 = 8,049.36 : x
  2. Step 2: Convert to fraction form
    11,509.84/17,264.44 = 8,049.36/x
  3. Step 3: Cross multiply
    11,509.84x = 17,264.44 × 8,049.36
  4. Step 4: Simplify right side
    11,509.84x = 138,967,692.76
  5. Step 5: Solve for x
    x = 138,967,692.76/11,509.84
  6. Step 6: Final answer
    x = 12,073.82

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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.