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Finding the Fourth Proportional to 13,026.26, 19,542.09 and 5,235.68

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Solution

The fourth proportional to 13,026.26, 19,542.09 and 5,235.68 is: 7,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.26 : 19,542.09 = 5,235.68 : x
  2. Step 2: Convert to fraction form
    13,026.26/19,542.09 = 5,235.68/x
  3. Step 3: Cross multiply
    13,026.26x = 19,542.09 × 5,235.68
  4. Step 4: Simplify right side
    13,026.26x = 102,316,129.77
  5. Step 5: Solve for x
    x = 102,316,129.77/13,026.26
  6. Step 6: Final answer
    x = 7,854.61

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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.