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Finding the Fourth Proportional to 25,468.94, 35,146.22 and 14,138.94

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Solution

The fourth proportional to 25,468.94, 35,146.22 and 14,138.94 is: 19,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468.94 : 35,146.22 = 14,138.94 : x
  2. Step 2: Convert to fraction form
    25,468.94/35,146.22 = 14,138.94/x
  3. Step 3: Cross multiply
    25,468.94x = 35,146.22 × 14,138.94
  4. Step 4: Simplify right side
    25,468.94x = 496,930,295.81
  5. Step 5: Solve for x
    x = 496,930,295.81/25,468.94
  6. Step 6: Final answer
    x = 19,511.23

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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.