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Finding the Fourth Proportional to 12,297.10, 16,969.42 and 7,524.98

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Solution

The fourth proportional to 12,297.10, 16,969.42 and 7,524.98 is: 10,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.10 : 16,969.42 = 7,524.98 : x
  2. Step 2: Convert to fraction form
    12,297.10/16,969.42 = 7,524.98/x
  3. Step 3: Cross multiply
    12,297.10x = 16,969.42 × 7,524.98
  4. Step 4: Simplify right side
    12,297.10x = 127,694,546.11
  5. Step 5: Solve for x
    x = 127,694,546.11/12,297.10
  6. Step 6: Final answer
    x = 10,384.12

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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.