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Finding the Fourth Proportional to 25,469.83, 35,146.42 and 14,138.28

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Solution

The fourth proportional to 25,469.83, 35,146.42 and 14,138.28 is: 19,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469.83 : 35,146.42 = 14,138.28 : x
  2. Step 2: Convert to fraction form
    25,469.83/35,146.42 = 14,138.28/x
  3. Step 3: Cross multiply
    25,469.83x = 35,146.42 × 14,138.28
  4. Step 4: Simplify right side
    25,469.83x = 496,909,891.61
  5. Step 5: Solve for x
    x = 496,909,891.61/25,469.83
  6. Step 6: Final answer
    x = 19,509.74

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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.