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Finding the Fourth Proportional to 18,682.34, 25,780.83 and 10,184.26

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Solution

The fourth proportional to 18,682.34, 25,780.83 and 10,184.26 is: 14,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682.34 : 25,780.83 = 10,184.26 : x
  2. Step 2: Convert to fraction form
    18,682.34/25,780.83 = 10,184.26/x
  3. Step 3: Cross multiply
    18,682.34x = 25,780.83 × 10,184.26
  4. Step 4: Simplify right side
    18,682.34x = 262,558,675.74
  5. Step 5: Solve for x
    x = 262,558,675.74/18,682.34
  6. Step 6: Final answer
    x = 14,053.84

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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.