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Finding the Fourth Proportional to 15,769.37, 21,739.10 and 12,406.37

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Solution

The fourth proportional to 15,769.37, 21,739.10 and 12,406.37 is: 17,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.37 : 21,739.10 = 12,406.37 : x
  2. Step 2: Convert to fraction form
    15,769.37/21,739.10 = 12,406.37/x
  3. Step 3: Cross multiply
    15,769.37x = 21,739.10 × 12,406.37
  4. Step 4: Simplify right side
    15,769.37x = 269,703,147.34
  5. Step 5: Solve for x
    x = 269,703,147.34/15,769.37
  6. Step 6: Final answer
    x = 17,102.98

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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.