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Finding the Fourth Proportional to 12,557.14, 17,328.94 and 7,251.94

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Solution

The fourth proportional to 12,557.14, 17,328.94 and 7,251.94 is: 10,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.14 : 17,328.94 = 7,251.94 : x
  2. Step 2: Convert to fraction form
    12,557.14/17,328.94 = 7,251.94/x
  3. Step 3: Cross multiply
    12,557.14x = 17,328.94 × 7,251.94
  4. Step 4: Simplify right side
    12,557.14x = 125,668,433.14
  5. Step 5: Solve for x
    x = 125,668,433.14/12,557.14
  6. Step 6: Final answer
    x = 10,007.73

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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.