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Finding the Fourth Proportional to 13,797.33, 19,039.37 and 7,509.57

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Solution

The fourth proportional to 13,797.33, 19,039.37 and 7,509.57 is: 10,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.33 : 19,039.37 = 7,509.57 : x
  2. Step 2: Convert to fraction form
    13,797.33/19,039.37 = 7,509.57/x
  3. Step 3: Cross multiply
    13,797.33x = 19,039.37 × 7,509.57
  4. Step 4: Simplify right side
    13,797.33x = 142,977,481.77
  5. Step 5: Solve for x
    x = 142,977,481.77/13,797.33
  6. Step 6: Final answer
    x = 10,362.69

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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.