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Finding the Fourth Proportional to 12,789.40, 17,644.32 and 9,440.20

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Solution

The fourth proportional to 12,789.40, 17,644.32 and 9,440.20 is: 13,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.40 : 17,644.32 = 9,440.20 : x
  2. Step 2: Convert to fraction form
    12,789.40/17,644.32 = 9,440.20/x
  3. Step 3: Cross multiply
    12,789.40x = 17,644.32 × 9,440.20
  4. Step 4: Simplify right side
    12,789.40x = 166,565,909.66
  5. Step 5: Solve for x
    x = 166,565,909.66/12,789.40
  6. Step 6: Final answer
    x = 13,023.75

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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.