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Finding the Fourth Proportional to 13,471.38, 18,589.30 and 7,804.32

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Solution

The fourth proportional to 13,471.38, 18,589.30 and 7,804.32 is: 10,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.38 : 18,589.30 = 7,804.32 : x
  2. Step 2: Convert to fraction form
    13,471.38/18,589.30 = 7,804.32/x
  3. Step 3: Cross multiply
    13,471.38x = 18,589.30 × 7,804.32
  4. Step 4: Simplify right side
    13,471.38x = 145,076,845.78
  5. Step 5: Solve for x
    x = 145,076,845.78/13,471.38
  6. Step 6: Final answer
    x = 10,769.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.