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Finding the Fourth Proportional to 17,783.42, 24,539.03 and 9,825.17

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Solution

The fourth proportional to 17,783.42, 24,539.03 and 9,825.17 is: 13,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.42 : 24,539.03 = 9,825.17 : x
  2. Step 2: Convert to fraction form
    17,783.42/24,539.03 = 9,825.17/x
  3. Step 3: Cross multiply
    17,783.42x = 24,539.03 × 9,825.17
  4. Step 4: Simplify right side
    17,783.42x = 241,099,969.56
  5. Step 5: Solve for x
    x = 241,099,969.56/17,783.42
  6. Step 6: Final answer
    x = 13,557.57

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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.