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Finding the Fourth Proportional to 23,884.56, 35,812.26 and 9,840.24

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Solution

The fourth proportional to 23,884.56, 35,812.26 and 9,840.24 is: 14,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.56 : 35,812.26 = 9,840.24 : x
  2. Step 2: Convert to fraction form
    23,884.56/35,812.26 = 9,840.24/x
  3. Step 3: Cross multiply
    23,884.56x = 35,812.26 × 9,840.24
  4. Step 4: Simplify right side
    23,884.56x = 352,401,233.34
  5. Step 5: Solve for x
    x = 352,401,233.34/23,884.56
  6. Step 6: Final answer
    x = 14,754.35

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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.