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Finding the Fourth Proportional to 12,294.12, 18,423.90 and 9,218.28

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Solution

The fourth proportional to 12,294.12, 18,423.90 and 9,218.28 is: 13,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.12 : 18,423.90 = 9,218.28 : x
  2. Step 2: Convert to fraction form
    12,294.12/18,423.90 = 9,218.28/x
  3. Step 3: Cross multiply
    12,294.12x = 18,423.90 × 9,218.28
  4. Step 4: Simplify right side
    12,294.12x = 169,836,668.89
  5. Step 5: Solve for x
    x = 169,836,668.89/12,294.12
  6. Step 6: Final answer
    x = 13,814.46

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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.