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Finding the Fourth Proportional to 14,232.25, 19,640.81 and 7,858.82

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Solution

The fourth proportional to 14,232.25, 19,640.81 and 7,858.82 is: 10,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.25 : 19,640.81 = 7,858.82 : x
  2. Step 2: Convert to fraction form
    14,232.25/19,640.81 = 7,858.82/x
  3. Step 3: Cross multiply
    14,232.25x = 19,640.81 × 7,858.82
  4. Step 4: Simplify right side
    14,232.25x = 154,353,551.15
  5. Step 5: Solve for x
    x = 154,353,551.15/14,232.25
  6. Step 6: Final answer
    x = 10,845.34

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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.