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Finding the Fourth Proportional to 23,530.12, 35,266.74 and 8,734.12

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Solution

The fourth proportional to 23,530.12, 35,266.74 and 8,734.12 is: 13,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.12 : 35,266.74 = 8,734.12 : x
  2. Step 2: Convert to fraction form
    23,530.12/35,266.74 = 8,734.12/x
  3. Step 3: Cross multiply
    23,530.12x = 35,266.74 × 8,734.12
  4. Step 4: Simplify right side
    23,530.12x = 308,023,939.17
  5. Step 5: Solve for x
    x = 308,023,939.17/23,530.12
  6. Step 6: Final answer
    x = 13,090.62

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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.