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Finding the Fourth Proportional to 23,634.32, 35,457.55 and 6,993.68

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Solution

The fourth proportional to 23,634.32, 35,457.55 and 6,993.68 is: 10,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.32 : 35,457.55 = 6,993.68 : x
  2. Step 2: Convert to fraction form
    23,634.32/35,457.55 = 6,993.68/x
  3. Step 3: Cross multiply
    23,634.32x = 35,457.55 × 6,993.68
  4. Step 4: Simplify right side
    23,634.32x = 247,978,758.28
  5. Step 5: Solve for x
    x = 247,978,758.28/23,634.32
  6. Step 6: Final answer
    x = 10,492.32

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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.