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Finding the Fourth Proportional to 23,699.62, 35,518.56 and 9,643.24

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Solution

The fourth proportional to 23,699.62, 35,518.56 and 9,643.24 is: 14,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.62 : 35,518.56 = 9,643.24 : x
  2. Step 2: Convert to fraction form
    23,699.62/35,518.56 = 9,643.24/x
  3. Step 3: Cross multiply
    23,699.62x = 35,518.56 × 9,643.24
  4. Step 4: Simplify right side
    23,699.62x = 342,513,998.53
  5. Step 5: Solve for x
    x = 342,513,998.53/23,699.62
  6. Step 6: Final answer
    x = 14,452.30

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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.