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Finding the Fourth Proportional to 12,972.72, 19,465.44 and 8,041.05

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Solution

The fourth proportional to 12,972.72, 19,465.44 and 8,041.05 is: 12,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.72 : 19,465.44 = 8,041.05 : x
  2. Step 2: Convert to fraction form
    12,972.72/19,465.44 = 8,041.05/x
  3. Step 3: Cross multiply
    12,972.72x = 19,465.44 × 8,041.05
  4. Step 4: Simplify right side
    12,972.72x = 156,522,576.31
  5. Step 5: Solve for x
    x = 156,522,576.31/12,972.72
  6. Step 6: Final answer
    x = 12,065.52

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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.