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Finding the Fourth Proportional to 27,188.16, 37,519.20 and 16,008

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Solution

The fourth proportional to 27,188.16, 37,519.20 and 16,008 is: 22,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.16 : 37,519.20 = 16,008 : x
  2. Step 2: Convert to fraction form
    27,188.16/37,519.20 = 16,008/x
  3. Step 3: Cross multiply
    27,188.16x = 37,519.20 × 16,008
  4. Step 4: Simplify right side
    27,188.16x = 600,607,353.60
  5. Step 5: Solve for x
    x = 600,607,353.60/27,188.16
  6. Step 6: Final answer
    x = 22,090.77

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