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Finding the Fourth Proportional to 13,546.36, 18,652.44 and 11,858.32

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Solution

The fourth proportional to 13,546.36, 18,652.44 and 11,858.32 is: 16,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.36 : 18,652.44 = 11,858.32 : x
  2. Step 2: Convert to fraction form
    13,546.36/18,652.44 = 11,858.32/x
  3. Step 3: Cross multiply
    13,546.36x = 18,652.44 × 11,858.32
  4. Step 4: Simplify right side
    13,546.36x = 221,186,602.30
  5. Step 5: Solve for x
    x = 221,186,602.30/13,546.36
  6. Step 6: Final answer
    x = 16,328.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.