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Finding the Fourth Proportional to 12,894.56, 17,795.58 and 7,229.22

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Solution

The fourth proportional to 12,894.56, 17,795.58 and 7,229.22 is: 9,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.56 : 17,795.58 = 7,229.22 : x
  2. Step 2: Convert to fraction form
    12,894.56/17,795.58 = 7,229.22/x
  3. Step 3: Cross multiply
    12,894.56x = 17,795.58 × 7,229.22
  4. Step 4: Simplify right side
    12,894.56x = 128,648,162.85
  5. Step 5: Solve for x
    x = 128,648,162.85/12,894.56
  6. Step 6: Final answer
    x = 9,976.93

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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.