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Finding the Fourth Proportional to 23,564.96, 35,284.32 and 12,448.64

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Solution

The fourth proportional to 23,564.96, 35,284.32 and 12,448.64 is: 18,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.96 : 35,284.32 = 12,448.64 : x
  2. Step 2: Convert to fraction form
    23,564.96/35,284.32 = 12,448.64/x
  3. Step 3: Cross multiply
    23,564.96x = 35,284.32 × 12,448.64
  4. Step 4: Simplify right side
    23,564.96x = 439,241,797.32
  5. Step 5: Solve for x
    x = 439,241,797.32/23,564.96
  6. Step 6: Final answer
    x = 18,639.62

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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.