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Finding the Fourth Proportional to 18,586.26, 25,649.46 and 10,202.76

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Solution

The fourth proportional to 18,586.26, 25,649.46 and 10,202.76 is: 14,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.26 : 25,649.46 = 10,202.76 : x
  2. Step 2: Convert to fraction form
    18,586.26/25,649.46 = 10,202.76/x
  3. Step 3: Cross multiply
    18,586.26x = 25,649.46 × 10,202.76
  4. Step 4: Simplify right side
    18,586.26x = 261,695,284.51
  5. Step 5: Solve for x
    x = 261,695,284.51/18,586.26
  6. Step 6: Final answer
    x = 14,080.04

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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.