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Finding the Fourth Proportional to 13,913.09, 19,200.14 and 7,539.69

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Solution

The fourth proportional to 13,913.09, 19,200.14 and 7,539.69 is: 10,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.09 : 19,200.14 = 7,539.69 : x
  2. Step 2: Convert to fraction form
    13,913.09/19,200.14 = 7,539.69/x
  3. Step 3: Cross multiply
    13,913.09x = 19,200.14 × 7,539.69
  4. Step 4: Simplify right side
    13,913.09x = 144,763,103.56
  5. Step 5: Solve for x
    x = 144,763,103.56/13,913.09
  6. Step 6: Final answer
    x = 10,404.81

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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.