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Finding the Fourth Proportional to 12,266.16, 18,369 and 7,056.24

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Solution

The fourth proportional to 12,266.16, 18,369 and 7,056.24 is: 10,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.16 : 18,369 = 7,056.24 : x
  2. Step 2: Convert to fraction form
    12,266.16/18,369 = 7,056.24/x
  3. Step 3: Cross multiply
    12,266.16x = 18,369 × 7,056.24
  4. Step 4: Simplify right side
    12,266.16x = 129,616,072.56
  5. Step 5: Solve for x
    x = 129,616,072.56/12,266.16
  6. Step 6: Final answer
    x = 10,566.96

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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.