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Finding the Fourth Proportional to 13,412.75, 18,509.33 and 7,444.49

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Solution

The fourth proportional to 13,412.75, 18,509.33 and 7,444.49 is: 10,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.75 : 18,509.33 = 7,444.49 : x
  2. Step 2: Convert to fraction form
    13,412.75/18,509.33 = 7,444.49/x
  3. Step 3: Cross multiply
    13,412.75x = 18,509.33 × 7,444.49
  4. Step 4: Simplify right side
    13,412.75x = 137,792,429.55
  5. Step 5: Solve for x
    x = 137,792,429.55/13,412.75
  6. Step 6: Final answer
    x = 10,273.25

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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.