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Finding the Fourth Proportional to 12,938.94, 19,408.41 and 10,329.66

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Solution

The fourth proportional to 12,938.94, 19,408.41 and 10,329.66 is: 15,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.94 : 19,408.41 = 10,329.66 : x
  2. Step 2: Convert to fraction form
    12,938.94/19,408.41 = 10,329.66/x
  3. Step 3: Cross multiply
    12,938.94x = 19,408.41 × 10,329.66
  4. Step 4: Simplify right side
    12,938.94x = 200,482,276.44
  5. Step 5: Solve for x
    x = 200,482,276.44/12,938.94
  6. Step 6: Final answer
    x = 15,494.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.