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Finding the Fourth Proportional to 12,306.84, 18,434.10 and 11,425.56

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Solution

The fourth proportional to 12,306.84, 18,434.10 and 11,425.56 is: 17,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.84 : 18,434.10 = 11,425.56 : x
  2. Step 2: Convert to fraction form
    12,306.84/18,434.10 = 11,425.56/x
  3. Step 3: Cross multiply
    12,306.84x = 18,434.10 × 11,425.56
  4. Step 4: Simplify right side
    12,306.84x = 210,619,915.60
  5. Step 5: Solve for x
    x = 210,619,915.60/12,306.84
  6. Step 6: Final answer
    x = 17,114.05

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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.