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Finding the Fourth Proportional to 13,804.30, 19,049.64 and 8,498.98

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Solution

The fourth proportional to 13,804.30, 19,049.64 and 8,498.98 is: 11,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.30 : 19,049.64 = 8,498.98 : x
  2. Step 2: Convert to fraction form
    13,804.30/19,049.64 = 8,498.98/x
  3. Step 3: Cross multiply
    13,804.30x = 19,049.64 × 8,498.98
  4. Step 4: Simplify right side
    13,804.30x = 161,902,509.37
  5. Step 5: Solve for x
    x = 161,902,509.37/13,804.30
  6. Step 6: Final answer
    x = 11,728.41

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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.