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Finding the Fourth Proportional to 12,017.10, 16,578.44 and 7,537.80

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Solution

The fourth proportional to 12,017.10, 16,578.44 and 7,537.80 is: 10,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.10 : 16,578.44 = 7,537.80 : x
  2. Step 2: Convert to fraction form
    12,017.10/16,578.44 = 7,537.80/x
  3. Step 3: Cross multiply
    12,017.10x = 16,578.44 × 7,537.80
  4. Step 4: Simplify right side
    12,017.10x = 124,964,965.03
  5. Step 5: Solve for x
    x = 124,964,965.03/12,017.10
  6. Step 6: Final answer
    x = 10,398.93

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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.