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Finding the Fourth Proportional to 14,182.54, 19,573.62 and 8,134.96

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Solution

The fourth proportional to 14,182.54, 19,573.62 and 8,134.96 is: 11,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.54 : 19,573.62 = 8,134.96 : x
  2. Step 2: Convert to fraction form
    14,182.54/19,573.62 = 8,134.96/x
  3. Step 3: Cross multiply
    14,182.54x = 19,573.62 × 8,134.96
  4. Step 4: Simplify right side
    14,182.54x = 159,230,615.76
  5. Step 5: Solve for x
    x = 159,230,615.76/14,182.54
  6. Step 6: Final answer
    x = 11,227.23

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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.