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Finding the Fourth Proportional to 14,081.36, 19,431.99 and 7,707.80

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Solution

The fourth proportional to 14,081.36, 19,431.99 and 7,707.80 is: 10,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.36 : 19,431.99 = 7,707.80 : x
  2. Step 2: Convert to fraction form
    14,081.36/19,431.99 = 7,707.80/x
  3. Step 3: Cross multiply
    14,081.36x = 19,431.99 × 7,707.80
  4. Step 4: Simplify right side
    14,081.36x = 149,777,941.10
  5. Step 5: Solve for x
    x = 149,777,941.10/14,081.36
  6. Step 6: Final answer
    x = 10,636.61

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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.