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Finding the Fourth Proportional to 13,804.92, 19,051.56 and 8,142.98

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Solution

The fourth proportional to 13,804.92, 19,051.56 and 8,142.98 is: 11,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.92 : 19,051.56 = 8,142.98 : x
  2. Step 2: Convert to fraction form
    13,804.92/19,051.56 = 8,142.98/x
  3. Step 3: Cross multiply
    13,804.92x = 19,051.56 × 8,142.98
  4. Step 4: Simplify right side
    13,804.92x = 155,136,376.79
  5. Step 5: Solve for x
    x = 155,136,376.79/13,804.92
  6. Step 6: Final answer
    x = 11,237.76

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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.