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Finding the Fourth Proportional to 13,803.50, 19,051.31 and 8,137.91

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Solution

The fourth proportional to 13,803.50, 19,051.31 and 8,137.91 is: 11,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.50 : 19,051.31 = 8,137.91 : x
  2. Step 2: Convert to fraction form
    13,803.50/19,051.31 = 8,137.91/x
  3. Step 3: Cross multiply
    13,803.50x = 19,051.31 × 8,137.91
  4. Step 4: Simplify right side
    13,803.50x = 155,037,710.22
  5. Step 5: Solve for x
    x = 155,037,710.22/13,803.50
  6. Step 6: Final answer
    x = 11,231.77

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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.