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Finding the Fourth Proportional to 13,262.46, 19,891.24 and 5,364.54

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Solution

The fourth proportional to 13,262.46, 19,891.24 and 5,364.54 is: 8,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.46 : 19,891.24 = 5,364.54 : x
  2. Step 2: Convert to fraction form
    13,262.46/19,891.24 = 5,364.54/x
  3. Step 3: Cross multiply
    13,262.46x = 19,891.24 × 5,364.54
  4. Step 4: Simplify right side
    13,262.46x = 106,707,352.63
  5. Step 5: Solve for x
    x = 106,707,352.63/13,262.46
  6. Step 6: Final answer
    x = 8,045.82

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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.