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Finding the Fourth Proportional to 13,535.81, 18,684.49 and 10,188.29

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Solution

The fourth proportional to 13,535.81, 18,684.49 and 10,188.29 is: 14,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.81 : 18,684.49 = 10,188.29 : x
  2. Step 2: Convert to fraction form
    13,535.81/18,684.49 = 10,188.29/x
  3. Step 3: Cross multiply
    13,535.81x = 18,684.49 × 10,188.29
  4. Step 4: Simplify right side
    13,535.81x = 190,362,883.73
  5. Step 5: Solve for x
    x = 190,362,883.73/13,535.81
  6. Step 6: Final answer
    x = 14,063.65

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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.