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Finding the Fourth Proportional to 13,506.06, 18,633.15 and 8,461.49

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Solution

The fourth proportional to 13,506.06, 18,633.15 and 8,461.49 is: 11,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.06 : 18,633.15 = 8,461.49 : x
  2. Step 2: Convert to fraction form
    13,506.06/18,633.15 = 8,461.49/x
  3. Step 3: Cross multiply
    13,506.06x = 18,633.15 × 8,461.49
  4. Step 4: Simplify right side
    13,506.06x = 157,664,119.23
  5. Step 5: Solve for x
    x = 157,664,119.23/13,506.06
  6. Step 6: Final answer
    x = 11,673.58

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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.