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Finding the Fourth Proportional to 13,403.46, 18,496.80 and 8,097.30

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Solution

The fourth proportional to 13,403.46, 18,496.80 and 8,097.30 is: 11,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.46 : 18,496.80 = 8,097.30 : x
  2. Step 2: Convert to fraction form
    13,403.46/18,496.80 = 8,097.30/x
  3. Step 3: Cross multiply
    13,403.46x = 18,496.80 × 8,097.30
  4. Step 4: Simplify right side
    13,403.46x = 149,774,138.64
  5. Step 5: Solve for x
    x = 149,774,138.64/13,403.46
  6. Step 6: Final answer
    x = 11,174.29

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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.