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Finding the Fourth Proportional to 13,004.46, 19,488.42 and 7,449.48

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Solution

The fourth proportional to 13,004.46, 19,488.42 and 7,449.48 is: 11,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.46 : 19,488.42 = 7,449.48 : x
  2. Step 2: Convert to fraction form
    13,004.46/19,488.42 = 7,449.48/x
  3. Step 3: Cross multiply
    13,004.46x = 19,488.42 × 7,449.48
  4. Step 4: Simplify right side
    13,004.46x = 145,178,595.02
  5. Step 5: Solve for x
    x = 145,178,595.02/13,004.46
  6. Step 6: Final answer
    x = 11,163.75

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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.