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Finding the Fourth Proportional to 12,826.92, 17,701.44 and 7,525.56

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Solution

The fourth proportional to 12,826.92, 17,701.44 and 7,525.56 is: 10,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.92 : 17,701.44 = 7,525.56 : x
  2. Step 2: Convert to fraction form
    12,826.92/17,701.44 = 7,525.56/x
  3. Step 3: Cross multiply
    12,826.92x = 17,701.44 × 7,525.56
  4. Step 4: Simplify right side
    12,826.92x = 133,213,248.81
  5. Step 5: Solve for x
    x = 133,213,248.81/12,826.92
  6. Step 6: Final answer
    x = 10,385.44

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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.