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Finding the Fourth Proportional to 12,967.05, 17,894.76 and 7,661.85

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Solution

The fourth proportional to 12,967.05, 17,894.76 and 7,661.85 is: 10,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.05 : 17,894.76 = 7,661.85 : x
  2. Step 2: Convert to fraction form
    12,967.05/17,894.76 = 7,661.85/x
  3. Step 3: Cross multiply
    12,967.05x = 17,894.76 × 7,661.85
  4. Step 4: Simplify right side
    12,967.05x = 137,106,971.73
  5. Step 5: Solve for x
    x = 137,106,971.73/12,967.05
  6. Step 6: Final answer
    x = 10,573.49

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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.