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Finding the Fourth Proportional to 12,782.45, 17,638.52 and 9,427.07

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Solution

The fourth proportional to 12,782.45, 17,638.52 and 9,427.07 is: 13,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.45 : 17,638.52 = 9,427.07 : x
  2. Step 2: Convert to fraction form
    12,782.45/17,638.52 = 9,427.07/x
  3. Step 3: Cross multiply
    12,782.45x = 17,638.52 × 9,427.07
  4. Step 4: Simplify right side
    12,782.45x = 166,279,427.41
  5. Step 5: Solve for x
    x = 166,279,427.41/12,782.45
  6. Step 6: Final answer
    x = 13,008.42

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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.