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Finding the Fourth Proportional to 36,980, 55,436.16 and 13,588.64

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Solution

The fourth proportional to 36,980, 55,436.16 and 13,588.64 is: 20,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,980 : 55,436.16 = 13,588.64 : x
  2. Step 2: Convert to fraction form
    36,980/55,436.16 = 13,588.64/x
  3. Step 3: Cross multiply
    36,980x = 55,436.16 × 13,588.64
  4. Step 4: Simplify right side
    36,980x = 753,302,021.22
  5. Step 5: Solve for x
    x = 753,302,021.22/36,980
  6. Step 6: Final answer
    x = 20,370.53

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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.