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Finding the Fourth Proportional to 27,111.74, 37,412.16 and 16,500.20

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Solution

The fourth proportional to 27,111.74, 37,412.16 and 16,500.20 is: 22,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,111.74 : 37,412.16 = 16,500.20 : x
  2. Step 2: Convert to fraction form
    27,111.74/37,412.16 = 16,500.20/x
  3. Step 3: Cross multiply
    27,111.74x = 37,412.16 × 16,500.20
  4. Step 4: Simplify right side
    27,111.74x = 617,308,122.43
  5. Step 5: Solve for x
    x = 617,308,122.43/27,111.74
  6. Step 6: Final answer
    x = 22,769.03

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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.