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Finding the Fourth Proportional to 13,503.31, 18,622.40 and 8,468.03

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Solution

The fourth proportional to 13,503.31, 18,622.40 and 8,468.03 is: 11,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.31 : 18,622.40 = 8,468.03 : x
  2. Step 2: Convert to fraction form
    13,503.31/18,622.40 = 8,468.03/x
  3. Step 3: Cross multiply
    13,503.31x = 18,622.40 × 8,468.03
  4. Step 4: Simplify right side
    13,503.31x = 157,695,046.09
  5. Step 5: Solve for x
    x = 157,695,046.09/13,503.31
  6. Step 6: Final answer
    x = 11,678.25

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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.