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Finding the Fourth Proportional to 12,869.45, 17,758.55 and 7,203.83

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Solution

The fourth proportional to 12,869.45, 17,758.55 and 7,203.83 is: 9,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.45 : 17,758.55 = 7,203.83 : x
  2. Step 2: Convert to fraction form
    12,869.45/17,758.55 = 7,203.83/x
  3. Step 3: Cross multiply
    12,869.45x = 17,758.55 × 7,203.83
  4. Step 4: Simplify right side
    12,869.45x = 127,929,539.23
  5. Step 5: Solve for x
    x = 127,929,539.23/12,869.45
  6. Step 6: Final answer
    x = 9,940.56

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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.