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Finding the Fourth Proportional to 18,138.51, 25,031.07 and 10,180.80

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Solution

The fourth proportional to 18,138.51, 25,031.07 and 10,180.80 is: 14,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.51 : 25,031.07 = 10,180.80 : x
  2. Step 2: Convert to fraction form
    18,138.51/25,031.07 = 10,180.80/x
  3. Step 3: Cross multiply
    18,138.51x = 25,031.07 × 10,180.80
  4. Step 4: Simplify right side
    18,138.51x = 254,836,317.46
  5. Step 5: Solve for x
    x = 254,836,317.46/18,138.51
  6. Step 6: Final answer
    x = 14,049.46

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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.