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Finding the Fourth Proportional to 17,652.24, 24,359.64 and 10,200.24

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Solution

The fourth proportional to 17,652.24, 24,359.64 and 10,200.24 is: 14,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.24 : 24,359.64 = 10,200.24 : x
  2. Step 2: Convert to fraction form
    17,652.24/24,359.64 = 10,200.24/x
  3. Step 3: Cross multiply
    17,652.24x = 24,359.64 × 10,200.24
  4. Step 4: Simplify right side
    17,652.24x = 248,474,174.31
  5. Step 5: Solve for x
    x = 248,474,174.31/17,652.24
  6. Step 6: Final answer
    x = 14,076.07

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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.