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Finding the Fourth Proportional to 13,803.66, 19,046.52 and 8,140.19

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Solution

The fourth proportional to 13,803.66, 19,046.52 and 8,140.19 is: 11,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.66 : 19,046.52 = 8,140.19 : x
  2. Step 2: Convert to fraction form
    13,803.66/19,046.52 = 8,140.19/x
  3. Step 3: Cross multiply
    13,803.66x = 19,046.52 × 8,140.19
  4. Step 4: Simplify right side
    13,803.66x = 155,042,196.41
  5. Step 5: Solve for x
    x = 155,042,196.41/13,803.66
  6. Step 6: Final answer
    x = 11,231.96

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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.