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Finding the Fourth Proportional to 24,695.70, 37,055.34 and 11,546.16

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Solution

The fourth proportional to 24,695.70, 37,055.34 and 11,546.16 is: 17,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695.70 : 37,055.34 = 11,546.16 : x
  2. Step 2: Convert to fraction form
    24,695.70/37,055.34 = 11,546.16/x
  3. Step 3: Cross multiply
    24,695.70x = 37,055.34 × 11,546.16
  4. Step 4: Simplify right side
    24,695.70x = 427,846,884.49
  5. Step 5: Solve for x
    x = 427,846,884.49/24,695.70
  6. Step 6: Final answer
    x = 17,324.75

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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.