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Finding the Fourth Proportional to 14,378.52, 19,843.26 and 8,713.76

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Solution

The fourth proportional to 14,378.52, 19,843.26 and 8,713.76 is: 12,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.52 : 19,843.26 = 8,713.76 : x
  2. Step 2: Convert to fraction form
    14,378.52/19,843.26 = 8,713.76/x
  3. Step 3: Cross multiply
    14,378.52x = 19,843.26 × 8,713.76
  4. Step 4: Simplify right side
    14,378.52x = 172,909,405.26
  5. Step 5: Solve for x
    x = 172,909,405.26/14,378.52
  6. Step 6: Final answer
    x = 12,025.54

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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.