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Finding the Fourth Proportional to 25,378.36, 35,018.06 and 14,198.20

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Solution

The fourth proportional to 25,378.36, 35,018.06 and 14,198.20 is: 19,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.36 : 35,018.06 = 14,198.20 : x
  2. Step 2: Convert to fraction form
    25,378.36/35,018.06 = 14,198.20/x
  3. Step 3: Cross multiply
    25,378.36x = 35,018.06 × 14,198.20
  4. Step 4: Simplify right side
    25,378.36x = 497,193,419.49
  5. Step 5: Solve for x
    x = 497,193,419.49/25,378.36
  6. Step 6: Final answer
    x = 19,591.24

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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.