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Finding the Fourth Proportional to 13,598.49, 18,766.65 and 7,629.69

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Solution

The fourth proportional to 13,598.49, 18,766.65 and 7,629.69 is: 10,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.49 : 18,766.65 = 7,629.69 : x
  2. Step 2: Convert to fraction form
    13,598.49/18,766.65 = 7,629.69/x
  3. Step 3: Cross multiply
    13,598.49x = 18,766.65 × 7,629.69
  4. Step 4: Simplify right side
    13,598.49x = 143,183,721.84
  5. Step 5: Solve for x
    x = 143,183,721.84/13,598.49
  6. Step 6: Final answer
    x = 10,529.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.