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Finding the Fourth Proportional to 13,047.56, 19,571.27 and 3,186.89

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Solution

The fourth proportional to 13,047.56, 19,571.27 and 3,186.89 is: 4,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.56 : 19,571.27 = 3,186.89 : x
  2. Step 2: Convert to fraction form
    13,047.56/19,571.27 = 3,186.89/x
  3. Step 3: Cross multiply
    13,047.56x = 19,571.27 × 3,186.89
  4. Step 4: Simplify right side
    13,047.56x = 62,371,370.86
  5. Step 5: Solve for x
    x = 62,371,370.86/13,047.56
  6. Step 6: Final answer
    x = 4,780.31

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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.