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Finding the Fourth Proportional to 18,134.29, 25,029.24 and 13,838.54

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Solution

The fourth proportional to 18,134.29, 25,029.24 and 13,838.54 is: 19,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.29 : 25,029.24 = 13,838.54 : x
  2. Step 2: Convert to fraction form
    18,134.29/25,029.24 = 13,838.54/x
  3. Step 3: Cross multiply
    18,134.29x = 25,029.24 × 13,838.54
  4. Step 4: Simplify right side
    18,134.29x = 346,368,069.72
  5. Step 5: Solve for x
    x = 346,368,069.72/18,134.29
  6. Step 6: Final answer
    x = 19,100.18

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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.