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Finding the Fourth Proportional to 13,030.11, 19,511.81 and 7,180.23

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Solution

The fourth proportional to 13,030.11, 19,511.81 and 7,180.23 is: 10,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.11 : 19,511.81 = 7,180.23 : x
  2. Step 2: Convert to fraction form
    13,030.11/19,511.81 = 7,180.23/x
  3. Step 3: Cross multiply
    13,030.11x = 19,511.81 × 7,180.23
  4. Step 4: Simplify right side
    13,030.11x = 140,099,247.62
  5. Step 5: Solve for x
    x = 140,099,247.62/13,030.11
  6. Step 6: Final answer
    x = 10,751.96

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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.