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Finding the Fourth Proportional to 12,464.63, 17,200.57 and 7,428.73

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Solution

The fourth proportional to 12,464.63, 17,200.57 and 7,428.73 is: 10,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.63 : 17,200.57 = 7,428.73 : x
  2. Step 2: Convert to fraction form
    12,464.63/17,200.57 = 7,428.73/x
  3. Step 3: Cross multiply
    12,464.63x = 17,200.57 × 7,428.73
  4. Step 4: Simplify right side
    12,464.63x = 127,778,390.38
  5. Step 5: Solve for x
    x = 127,778,390.38/12,464.63
  6. Step 6: Final answer
    x = 10,251.28

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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.