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Finding the Fourth Proportional to 23,683.62, 35,538.48 and 9,653.40

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Solution

The fourth proportional to 23,683.62, 35,538.48 and 9,653.40 is: 14,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.62 : 35,538.48 = 9,653.40 : x
  2. Step 2: Convert to fraction form
    23,683.62/35,538.48 = 9,653.40/x
  3. Step 3: Cross multiply
    23,683.62x = 35,538.48 × 9,653.40
  4. Step 4: Simplify right side
    23,683.62x = 343,067,162.83
  5. Step 5: Solve for x
    x = 343,067,162.83/23,683.62
  6. Step 6: Final answer
    x = 14,485.42

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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.