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Finding the Fourth Proportional to 11,653.70, 17,439.51 and 9,548.42

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Solution

The fourth proportional to 11,653.70, 17,439.51 and 9,548.42 is: 14,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.70 : 17,439.51 = 9,548.42 : x
  2. Step 2: Convert to fraction form
    11,653.70/17,439.51 = 9,548.42/x
  3. Step 3: Cross multiply
    11,653.70x = 17,439.51 × 9,548.42
  4. Step 4: Simplify right side
    11,653.70x = 166,519,766.07
  5. Step 5: Solve for x
    x = 166,519,766.07/11,653.70
  6. Step 6: Final answer
    x = 14,289.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.