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Finding the Fourth Proportional to 12,629.80, 17,428.22 and 7,323.72

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Solution

The fourth proportional to 12,629.80, 17,428.22 and 7,323.72 is: 10,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.80 : 17,428.22 = 7,323.72 : x
  2. Step 2: Convert to fraction form
    12,629.80/17,428.22 = 7,323.72/x
  3. Step 3: Cross multiply
    12,629.80x = 17,428.22 × 7,323.72
  4. Step 4: Simplify right side
    12,629.80x = 127,639,403.38
  5. Step 5: Solve for x
    x = 127,639,403.38/12,629.80
  6. Step 6: Final answer
    x = 10,106.21

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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.