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Finding the Fourth Proportional to 12,429.32, 17,152.76 and 7,647.48

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Solution

The fourth proportional to 12,429.32, 17,152.76 and 7,647.48 is: 10,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.32 : 17,152.76 = 7,647.48 : x
  2. Step 2: Convert to fraction form
    12,429.32/17,152.76 = 7,647.48/x
  3. Step 3: Cross multiply
    12,429.32x = 17,152.76 × 7,647.48
  4. Step 4: Simplify right side
    12,429.32x = 131,175,408.16
  5. Step 5: Solve for x
    x = 131,175,408.16/12,429.32
  6. Step 6: Final answer
    x = 10,553.71

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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.