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Finding the Fourth Proportional to 23,546.40, 35,331.72 and 13,014.46

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Solution

The fourth proportional to 23,546.40, 35,331.72 and 13,014.46 is: 19,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.40 : 35,331.72 = 13,014.46 : x
  2. Step 2: Convert to fraction form
    23,546.40/35,331.72 = 13,014.46/x
  3. Step 3: Cross multiply
    23,546.40x = 35,331.72 × 13,014.46
  4. Step 4: Simplify right side
    23,546.40x = 459,823,252.03
  5. Step 5: Solve for x
    x = 459,823,252.03/23,546.40
  6. Step 6: Final answer
    x = 19,528.39

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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.