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Finding the Fourth Proportional to 14,081.85, 19,409.63 and 10,096.65

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Solution

The fourth proportional to 14,081.85, 19,409.63 and 10,096.65 is: 13,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.85 : 19,409.63 = 10,096.65 : x
  2. Step 2: Convert to fraction form
    14,081.85/19,409.63 = 10,096.65/x
  3. Step 3: Cross multiply
    14,081.85x = 19,409.63 × 10,096.65
  4. Step 4: Simplify right side
    14,081.85x = 195,972,190.26
  5. Step 5: Solve for x
    x = 195,972,190.26/14,081.85
  6. Step 6: Final answer
    x = 13,916.65

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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.