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Finding the Fourth Proportional to 12,826.42, 17,700.32 and 7,520.21

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Solution

The fourth proportional to 12,826.42, 17,700.32 and 7,520.21 is: 10,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.42 : 17,700.32 = 7,520.21 : x
  2. Step 2: Convert to fraction form
    12,826.42/17,700.32 = 7,520.21/x
  3. Step 3: Cross multiply
    12,826.42x = 17,700.32 × 7,520.21
  4. Step 4: Simplify right side
    12,826.42x = 133,110,120.14
  5. Step 5: Solve for x
    x = 133,110,120.14/12,826.42
  6. Step 6: Final answer
    x = 10,377.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.