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Finding the Fourth Proportional to 13,014.96, 19,527.92 and 6,776.58

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Solution

The fourth proportional to 13,014.96, 19,527.92 and 6,776.58 is: 10,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.96 : 19,527.92 = 6,776.58 : x
  2. Step 2: Convert to fraction form
    13,014.96/19,527.92 = 6,776.58/x
  3. Step 3: Cross multiply
    13,014.96x = 19,527.92 × 6,776.58
  4. Step 4: Simplify right side
    13,014.96x = 132,332,512.11
  5. Step 5: Solve for x
    x = 132,332,512.11/13,014.96
  6. Step 6: Final answer
    x = 10,167.72

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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.