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Finding the Fourth Proportional to 12,706.56, 19,065.60 and 6,462.72

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Solution

The fourth proportional to 12,706.56, 19,065.60 and 6,462.72 is: 9,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.56 : 19,065.60 = 6,462.72 : x
  2. Step 2: Convert to fraction form
    12,706.56/19,065.60 = 6,462.72/x
  3. Step 3: Cross multiply
    12,706.56x = 19,065.60 × 6,462.72
  4. Step 4: Simplify right side
    12,706.56x = 123,215,634.43
  5. Step 5: Solve for x
    x = 123,215,634.43/12,706.56
  6. Step 6: Final answer
    x = 9,697.01

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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.