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Finding the Fourth Proportional to 13,832.01, 19,093.91 and 10,289.07

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Solution

The fourth proportional to 13,832.01, 19,093.91 and 10,289.07 is: 14,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.01 : 19,093.91 = 10,289.07 : x
  2. Step 2: Convert to fraction form
    13,832.01/19,093.91 = 10,289.07/x
  3. Step 3: Cross multiply
    13,832.01x = 19,093.91 × 10,289.07
  4. Step 4: Simplify right side
    13,832.01x = 196,458,525.12
  5. Step 5: Solve for x
    x = 196,458,525.12/13,832.01
  6. Step 6: Final answer
    x = 14,203.18

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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.