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Finding the Fourth Proportional to 13,132.02, 19,651.80 and 8,203.98

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Solution

The fourth proportional to 13,132.02, 19,651.80 and 8,203.98 is: 12,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.02 : 19,651.80 = 8,203.98 : x
  2. Step 2: Convert to fraction form
    13,132.02/19,651.80 = 8,203.98/x
  3. Step 3: Cross multiply
    13,132.02x = 19,651.80 × 8,203.98
  4. Step 4: Simplify right side
    13,132.02x = 161,222,974.16
  5. Step 5: Solve for x
    x = 161,222,974.16/13,132.02
  6. Step 6: Final answer
    x = 12,277.09

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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.