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Finding the Fourth Proportional to 17,652.56, 24,361.84 and 10,939.50

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Solution

The fourth proportional to 17,652.56, 24,361.84 and 10,939.50 is: 15,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.56 : 24,361.84 = 10,939.50 : x
  2. Step 2: Convert to fraction form
    17,652.56/24,361.84 = 10,939.50/x
  3. Step 3: Cross multiply
    17,652.56x = 24,361.84 × 10,939.50
  4. Step 4: Simplify right side
    17,652.56x = 266,506,348.68
  5. Step 5: Solve for x
    x = 266,506,348.68/17,652.56
  6. Step 6: Final answer
    x = 15,097.32

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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.