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Finding the Fourth Proportional to 17,119.81, 23,623.65 and 9,947.86

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Solution

The fourth proportional to 17,119.81, 23,623.65 and 9,947.86 is: 13,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,119.81 : 23,623.65 = 9,947.86 : x
  2. Step 2: Convert to fraction form
    17,119.81/23,623.65 = 9,947.86/x
  3. Step 3: Cross multiply
    17,119.81x = 23,623.65 × 9,947.86
  4. Step 4: Simplify right side
    17,119.81x = 235,004,762.89
  5. Step 5: Solve for x
    x = 235,004,762.89/17,119.81
  6. Step 6: Final answer
    x = 13,727.07

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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.