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Finding the Fourth Proportional to 14,119.69, 19,485.81 and 7,832.07

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Solution

The fourth proportional to 14,119.69, 19,485.81 and 7,832.07 is: 10,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.69 : 19,485.81 = 7,832.07 : x
  2. Step 2: Convert to fraction form
    14,119.69/19,485.81 = 7,832.07/x
  3. Step 3: Cross multiply
    14,119.69x = 19,485.81 × 7,832.07
  4. Step 4: Simplify right side
    14,119.69x = 152,614,227.93
  5. Step 5: Solve for x
    x = 152,614,227.93/14,119.69
  6. Step 6: Final answer
    x = 10,808.61

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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.