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Finding the Fourth Proportional to 19,676, 27,152.92 and 10,723.60

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Solution

The fourth proportional to 19,676, 27,152.92 and 10,723.60 is: 14,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676 : 27,152.92 = 10,723.60 : x
  2. Step 2: Convert to fraction form
    19,676/27,152.92 = 10,723.60/x
  3. Step 3: Cross multiply
    19,676x = 27,152.92 × 10,723.60
  4. Step 4: Simplify right side
    19,676x = 291,177,052.91
  5. Step 5: Solve for x
    x = 291,177,052.91/19,676
  6. Step 6: Final answer
    x = 14,798.59

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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.