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Finding the Fourth Proportional to 13,588.39, 18,747.49 and 8,208.81

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Solution

The fourth proportional to 13,588.39, 18,747.49 and 8,208.81 is: 11,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.39 : 18,747.49 = 8,208.81 : x
  2. Step 2: Convert to fraction form
    13,588.39/18,747.49 = 8,208.81/x
  3. Step 3: Cross multiply
    13,588.39x = 18,747.49 × 8,208.81
  4. Step 4: Simplify right side
    13,588.39x = 153,894,583.39
  5. Step 5: Solve for x
    x = 153,894,583.39/13,588.39
  6. Step 6: Final answer
    x = 11,325.45

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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.