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Finding the Fourth Proportional to 13,048.54, 19,569.21 and 3,687.82

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Solution

The fourth proportional to 13,048.54, 19,569.21 and 3,687.82 is: 5,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.54 : 19,569.21 = 3,687.82 : x
  2. Step 2: Convert to fraction form
    13,048.54/19,569.21 = 3,687.82/x
  3. Step 3: Cross multiply
    13,048.54x = 19,569.21 × 3,687.82
  4. Step 4: Simplify right side
    13,048.54x = 72,167,724.02
  5. Step 5: Solve for x
    x = 72,167,724.02/13,048.54
  6. Step 6: Final answer
    x = 5,530.71

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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.