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Finding the Fourth Proportional to 27,387.86, 37,816.90 and 17,832.30

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Solution

The fourth proportional to 27,387.86, 37,816.90 and 17,832.30 is: 24,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,387.86 : 37,816.90 = 17,832.30 : x
  2. Step 2: Convert to fraction form
    27,387.86/37,816.90 = 17,832.30/x
  3. Step 3: Cross multiply
    27,387.86x = 37,816.90 × 17,832.30
  4. Step 4: Simplify right side
    27,387.86x = 674,362,305.87
  5. Step 5: Solve for x
    x = 674,362,305.87/27,387.86
  6. Step 6: Final answer
    x = 24,622.67

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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.