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Finding the Fourth Proportional to 12,782.34, 17,639.25 and 7,193.22

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Solution

The fourth proportional to 12,782.34, 17,639.25 and 7,193.22 is: 9,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.34 : 17,639.25 = 7,193.22 : x
  2. Step 2: Convert to fraction form
    12,782.34/17,639.25 = 7,193.22/x
  3. Step 3: Cross multiply
    12,782.34x = 17,639.25 × 7,193.22
  4. Step 4: Simplify right side
    12,782.34x = 126,883,005.89
  5. Step 5: Solve for x
    x = 126,883,005.89/12,782.34
  6. Step 6: Final answer
    x = 9,926.43

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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.