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Finding the Fourth Proportional to 13,005.81, 19,511.15 and 4,243.23

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Solution

The fourth proportional to 13,005.81, 19,511.15 and 4,243.23 is: 6,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.81 : 19,511.15 = 4,243.23 : x
  2. Step 2: Convert to fraction form
    13,005.81/19,511.15 = 4,243.23/x
  3. Step 3: Cross multiply
    13,005.81x = 19,511.15 × 4,243.23
  4. Step 4: Simplify right side
    13,005.81x = 82,790,275.80
  5. Step 5: Solve for x
    x = 82,790,275.80/13,005.81
  6. Step 6: Final answer
    x = 6,365.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.