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Finding the Fourth Proportional to 13,014.97, 19,527.92 and 6,776.57

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Solution

The fourth proportional to 13,014.97, 19,527.92 and 6,776.57 is: 10,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.97 : 19,527.92 = 6,776.57 : x
  2. Step 2: Convert to fraction form
    13,014.97/19,527.92 = 6,776.57/x
  3. Step 3: Cross multiply
    13,014.97x = 19,527.92 × 6,776.57
  4. Step 4: Simplify right side
    13,014.97x = 132,332,316.83
  5. Step 5: Solve for x
    x = 132,332,316.83/13,014.97
  6. Step 6: Final answer
    x = 10,167.70

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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.