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Finding the Fourth Proportional to 17,392.42, 23,996 and 9,837.82

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Solution

The fourth proportional to 17,392.42, 23,996 and 9,837.82 is: 13,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,392.42 : 23,996 = 9,837.82 : x
  2. Step 2: Convert to fraction form
    17,392.42/23,996 = 9,837.82/x
  3. Step 3: Cross multiply
    17,392.42x = 23,996 × 9,837.82
  4. Step 4: Simplify right side
    17,392.42x = 236,068,328.72
  5. Step 5: Solve for x
    x = 236,068,328.72/17,392.42
  6. Step 6: Final answer
    x = 13,573.06

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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.