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Finding the Fourth Proportional to 12,885.85, 17,786.42 and 7,509.88

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Solution

The fourth proportional to 12,885.85, 17,786.42 and 7,509.88 is: 10,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.85 : 17,786.42 = 7,509.88 : x
  2. Step 2: Convert to fraction form
    12,885.85/17,786.42 = 7,509.88/x
  3. Step 3: Cross multiply
    12,885.85x = 17,786.42 × 7,509.88
  4. Step 4: Simplify right side
    12,885.85x = 133,573,879.83
  5. Step 5: Solve for x
    x = 133,573,879.83/12,885.85
  6. Step 6: Final answer
    x = 10,365.93

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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.