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Finding the Fourth Proportional to 14,105.93, 19,465.46 and 8,137.25

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Solution

The fourth proportional to 14,105.93, 19,465.46 and 8,137.25 is: 11,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.93 : 19,465.46 = 8,137.25 : x
  2. Step 2: Convert to fraction form
    14,105.93/19,465.46 = 8,137.25/x
  3. Step 3: Cross multiply
    14,105.93x = 19,465.46 × 8,137.25
  4. Step 4: Simplify right side
    14,105.93x = 158,395,176.37
  5. Step 5: Solve for x
    x = 158,395,176.37/14,105.93
  6. Step 6: Final answer
    x = 11,228.98

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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.