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Finding the Fourth Proportional to 12,434.44, 17,159.56 and 6,845.44

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Solution

The fourth proportional to 12,434.44, 17,159.56 and 6,845.44 is: 9,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.44 : 17,159.56 = 6,845.44 : x
  2. Step 2: Convert to fraction form
    12,434.44/17,159.56 = 6,845.44/x
  3. Step 3: Cross multiply
    12,434.44x = 17,159.56 × 6,845.44
  4. Step 4: Simplify right side
    12,434.44x = 117,464,678.39
  5. Step 5: Solve for x
    x = 117,464,678.39/12,434.44
  6. Step 6: Final answer
    x = 9,446.72

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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.