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Finding the Fourth Proportional to 13,511.91, 20,253.99 and 5,189.68

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Solution

The fourth proportional to 13,511.91, 20,253.99 and 5,189.68 is: 7,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.91 : 20,253.99 = 5,189.68 : x
  2. Step 2: Convert to fraction form
    13,511.91/20,253.99 = 5,189.68/x
  3. Step 3: Cross multiply
    13,511.91x = 20,253.99 × 5,189.68
  4. Step 4: Simplify right side
    13,511.91x = 105,111,726.82
  5. Step 5: Solve for x
    x = 105,111,726.82/13,511.91
  6. Step 6: Final answer
    x = 7,779.19

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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.