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Finding the Fourth Proportional to 12,596.04, 18,969 and 10,972.20

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Solution

The fourth proportional to 12,596.04, 18,969 and 10,972.20 is: 16,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.04 : 18,969 = 10,972.20 : x
  2. Step 2: Convert to fraction form
    12,596.04/18,969 = 10,972.20/x
  3. Step 3: Cross multiply
    12,596.04x = 18,969 × 10,972.20
  4. Step 4: Simplify right side
    12,596.04x = 208,131,661.80
  5. Step 5: Solve for x
    x = 208,131,661.80/12,596.04
  6. Step 6: Final answer
    x = 16,523.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.