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Finding the Fourth Proportional to 13,629.69, 18,809.19 and 7,661.34

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Solution

The fourth proportional to 13,629.69, 18,809.19 and 7,661.34 is: 10,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629.69 : 18,809.19 = 7,661.34 : x
  2. Step 2: Convert to fraction form
    13,629.69/18,809.19 = 7,661.34/x
  3. Step 3: Cross multiply
    13,629.69x = 18,809.19 × 7,661.34
  4. Step 4: Simplify right side
    13,629.69x = 144,103,599.71
  5. Step 5: Solve for x
    x = 144,103,599.71/13,629.69
  6. Step 6: Final answer
    x = 10,572.77

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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.