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Finding the Fourth Proportional to 12,789.96, 17,648.88 and 9,434.58

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Solution

The fourth proportional to 12,789.96, 17,648.88 and 9,434.58 is: 13,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.96 : 17,648.88 = 9,434.58 : x
  2. Step 2: Convert to fraction form
    12,789.96/17,648.88 = 9,434.58/x
  3. Step 3: Cross multiply
    12,789.96x = 17,648.88 × 9,434.58
  4. Step 4: Simplify right side
    12,789.96x = 166,509,770.27
  5. Step 5: Solve for x
    x = 166,509,770.27/12,789.96
  6. Step 6: Final answer
    x = 13,018.79

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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.