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Finding the Fourth Proportional to 23,696.91, 35,544.87 and 9,656.37

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Solution

The fourth proportional to 23,696.91, 35,544.87 and 9,656.37 is: 14,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.91 : 35,544.87 = 9,656.37 : x
  2. Step 2: Convert to fraction form
    23,696.91/35,544.87 = 9,656.37/x
  3. Step 3: Cross multiply
    23,696.91x = 35,544.87 × 9,656.37
  4. Step 4: Simplify right side
    23,696.91x = 343,234,416.32
  5. Step 5: Solve for x
    x = 343,234,416.32/23,696.91
  6. Step 6: Final answer
    x = 14,484.35

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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.