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Finding the Fourth Proportional to 12,996.18, 19,495.71 and 7,149.78

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Solution

The fourth proportional to 12,996.18, 19,495.71 and 7,149.78 is: 10,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.18 : 19,495.71 = 7,149.78 : x
  2. Step 2: Convert to fraction form
    12,996.18/19,495.71 = 7,149.78/x
  3. Step 3: Cross multiply
    12,996.18x = 19,495.71 × 7,149.78
  4. Step 4: Simplify right side
    12,996.18x = 139,390,037.44
  5. Step 5: Solve for x
    x = 139,390,037.44/12,996.18
  6. Step 6: Final answer
    x = 10,725.46

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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.