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Finding the Fourth Proportional to 12,467.19, 17,206.94 and 7,431.73

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Solution

The fourth proportional to 12,467.19, 17,206.94 and 7,431.73 is: 10,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.19 : 17,206.94 = 7,431.73 : x
  2. Step 2: Convert to fraction form
    12,467.19/17,206.94 = 7,431.73/x
  3. Step 3: Cross multiply
    12,467.19x = 17,206.94 × 7,431.73
  4. Step 4: Simplify right side
    12,467.19x = 127,877,307.77
  5. Step 5: Solve for x
    x = 127,877,307.77/12,467.19
  6. Step 6: Final answer
    x = 10,257.11

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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.