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Finding the Fourth Proportional to 12,165.99, 18,269.82 and 7,513.53

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Solution

The fourth proportional to 12,165.99, 18,269.82 and 7,513.53 is: 11,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.99 : 18,269.82 = 7,513.53 : x
  2. Step 2: Convert to fraction form
    12,165.99/18,269.82 = 7,513.53/x
  3. Step 3: Cross multiply
    12,165.99x = 18,269.82 × 7,513.53
  4. Step 4: Simplify right side
    12,165.99x = 137,270,840.66
  5. Step 5: Solve for x
    x = 137,270,840.66/12,165.99
  6. Step 6: Final answer
    x = 11,283.16

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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.