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Finding the Fourth Proportional to 13,010.96, 19,514.86 and 5,609.34

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Solution

The fourth proportional to 13,010.96, 19,514.86 and 5,609.34 is: 8,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.96 : 19,514.86 = 5,609.34 : x
  2. Step 2: Convert to fraction form
    13,010.96/19,514.86 = 5,609.34/x
  3. Step 3: Cross multiply
    13,010.96x = 19,514.86 × 5,609.34
  4. Step 4: Simplify right side
    13,010.96x = 109,465,470.77
  5. Step 5: Solve for x
    x = 109,465,470.77/13,010.96
  6. Step 6: Final answer
    x = 8,413.33

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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.