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Finding the Fourth Proportional to 17,735.94, 24,474.86 and 9,669.42

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Solution

The fourth proportional to 17,735.94, 24,474.86 and 9,669.42 is: 13,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.94 : 24,474.86 = 9,669.42 : x
  2. Step 2: Convert to fraction form
    17,735.94/24,474.86 = 9,669.42/x
  3. Step 3: Cross multiply
    17,735.94x = 24,474.86 × 9,669.42
  4. Step 4: Simplify right side
    17,735.94x = 236,657,700.78
  5. Step 5: Solve for x
    x = 236,657,700.78/17,735.94
  6. Step 6: Final answer
    x = 13,343.40

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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.