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Finding the Fourth Proportional to 13,045.38, 17,994.43 and 7,736.44

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Solution

The fourth proportional to 13,045.38, 17,994.43 and 7,736.44 is: 10,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.38 : 17,994.43 = 7,736.44 : x
  2. Step 2: Convert to fraction form
    13,045.38/17,994.43 = 7,736.44/x
  3. Step 3: Cross multiply
    13,045.38x = 17,994.43 × 7,736.44
  4. Step 4: Simplify right side
    13,045.38x = 139,212,792.71
  5. Step 5: Solve for x
    x = 139,212,792.71/13,045.38
  6. Step 6: Final answer
    x = 10,671.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.