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Finding the Fourth Proportional to 13,530.74, 18,673.08 and 8,222.36

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Solution

The fourth proportional to 13,530.74, 18,673.08 and 8,222.36 is: 11,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.74 : 18,673.08 = 8,222.36 : x
  2. Step 2: Convert to fraction form
    13,530.74/18,673.08 = 8,222.36/x
  3. Step 3: Cross multiply
    13,530.74x = 18,673.08 × 8,222.36
  4. Step 4: Simplify right side
    13,530.74x = 153,536,786.07
  5. Step 5: Solve for x
    x = 153,536,786.07/13,530.74
  6. Step 6: Final answer
    x = 11,347.26

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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.