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Finding the Fourth Proportional to 18,682.94, 25,782.63 and 10,299.74

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Solution

The fourth proportional to 18,682.94, 25,782.63 and 10,299.74 is: 14,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682.94 : 25,782.63 = 10,299.74 : x
  2. Step 2: Convert to fraction form
    18,682.94/25,782.63 = 10,299.74/x
  3. Step 3: Cross multiply
    18,682.94x = 25,782.63 × 10,299.74
  4. Step 4: Simplify right side
    18,682.94x = 265,554,385.52
  5. Step 5: Solve for x
    x = 265,554,385.52/18,682.94
  6. Step 6: Final answer
    x = 14,213.74

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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.