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Finding the Fourth Proportional to 13,798.54, 19,043.67 and 7,832.08

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Solution

The fourth proportional to 13,798.54, 19,043.67 and 7,832.08 is: 10,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.54 : 19,043.67 = 7,832.08 : x
  2. Step 2: Convert to fraction form
    13,798.54/19,043.67 = 7,832.08/x
  3. Step 3: Cross multiply
    13,798.54x = 19,043.67 × 7,832.08
  4. Step 4: Simplify right side
    13,798.54x = 149,151,546.93
  5. Step 5: Solve for x
    x = 149,151,546.93/13,798.54
  6. Step 6: Final answer
    x = 10,809.23

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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.