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Finding the Fourth Proportional to 13,207.36, 18,222.84 and 8,497.84

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Solution

The fourth proportional to 13,207.36, 18,222.84 and 8,497.84 is: 11,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.36 : 18,222.84 = 8,497.84 : x
  2. Step 2: Convert to fraction form
    13,207.36/18,222.84 = 8,497.84/x
  3. Step 3: Cross multiply
    13,207.36x = 18,222.84 × 8,497.84
  4. Step 4: Simplify right side
    13,207.36x = 154,854,778.67
  5. Step 5: Solve for x
    x = 154,854,778.67/13,207.36
  6. Step 6: Final answer
    x = 11,724.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.