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Finding the Fourth Proportional to 13,403.13, 18,496.03 and 8,297.29

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Solution

The fourth proportional to 13,403.13, 18,496.03 and 8,297.29 is: 11,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.13 : 18,496.03 = 8,297.29 : x
  2. Step 2: Convert to fraction form
    13,403.13/18,496.03 = 8,297.29/x
  3. Step 3: Cross multiply
    13,403.13x = 18,496.03 × 8,297.29
  4. Step 4: Simplify right side
    13,403.13x = 153,466,924.76
  5. Step 5: Solve for x
    x = 153,466,924.76/13,403.13
  6. Step 6: Final answer
    x = 11,450.08

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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.