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Finding the Fourth Proportional to 36,562.32, 54,837 and 13,188.96

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Solution

The fourth proportional to 36,562.32, 54,837 and 13,188.96 is: 19,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,562.32 : 54,837 = 13,188.96 : x
  2. Step 2: Convert to fraction form
    36,562.32/54,837 = 13,188.96/x
  3. Step 3: Cross multiply
    36,562.32x = 54,837 × 13,188.96
  4. Step 4: Simplify right side
    36,562.32x = 723,242,999.52
  5. Step 5: Solve for x
    x = 723,242,999.52/36,562.32
  6. Step 6: Final answer
    x = 19,781.10

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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.