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Finding the Fourth Proportional to 14,142.72, 19,520.48 and 8,177.84

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Solution

The fourth proportional to 14,142.72, 19,520.48 and 8,177.84 is: 11,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.72 : 19,520.48 = 8,177.84 : x
  2. Step 2: Convert to fraction form
    14,142.72/19,520.48 = 8,177.84/x
  3. Step 3: Cross multiply
    14,142.72x = 19,520.48 × 8,177.84
  4. Step 4: Simplify right side
    14,142.72x = 159,635,362.16
  5. Step 5: Solve for x
    x = 159,635,362.16/14,142.72
  6. Step 6: Final answer
    x = 11,287.46

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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.