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Finding the Fourth Proportional to 17,534.62, 24,197.92 and 9,981.43

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Solution

The fourth proportional to 17,534.62, 24,197.92 and 9,981.43 is: 13,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.62 : 24,197.92 = 9,981.43 : x
  2. Step 2: Convert to fraction form
    17,534.62/24,197.92 = 9,981.43/x
  3. Step 3: Cross multiply
    17,534.62x = 24,197.92 × 9,981.43
  4. Step 4: Simplify right side
    17,534.62x = 241,529,844.63
  5. Step 5: Solve for x
    x = 241,529,844.63/17,534.62
  6. Step 6: Final answer
    x = 13,774.46

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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.