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Finding the Fourth Proportional to 14,496.77, 21,747.89 and 8,263.82

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Solution

The fourth proportional to 14,496.77, 21,747.89 and 8,263.82 is: 12,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.77 : 21,747.89 = 8,263.82 : x
  2. Step 2: Convert to fraction form
    14,496.77/21,747.89 = 8,263.82/x
  3. Step 3: Cross multiply
    14,496.77x = 21,747.89 × 8,263.82
  4. Step 4: Simplify right side
    14,496.77x = 179,720,723.37
  5. Step 5: Solve for x
    x = 179,720,723.37/14,496.77
  6. Step 6: Final answer
    x = 12,397.29

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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.