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Finding the Fourth Proportional to 17,825.48, 24,608.02 and 13,837.64

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Solution

The fourth proportional to 17,825.48, 24,608.02 and 13,837.64 is: 19,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.48 : 24,608.02 = 13,837.64 : x
  2. Step 2: Convert to fraction form
    17,825.48/24,608.02 = 13,837.64/x
  3. Step 3: Cross multiply
    17,825.48x = 24,608.02 × 13,837.64
  4. Step 4: Simplify right side
    17,825.48x = 340,516,921.87
  5. Step 5: Solve for x
    x = 340,516,921.87/17,825.48
  6. Step 6: Final answer
    x = 19,102.82

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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.