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Finding the Fourth Proportional to 23,294.56, 34,938.12 and 6,423.64

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Solution

The fourth proportional to 23,294.56, 34,938.12 and 6,423.64 is: 9,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.56 : 34,938.12 = 6,423.64 : x
  2. Step 2: Convert to fraction form
    23,294.56/34,938.12 = 6,423.64/x
  3. Step 3: Cross multiply
    23,294.56x = 34,938.12 × 6,423.64
  4. Step 4: Simplify right side
    23,294.56x = 224,429,905.16
  5. Step 5: Solve for x
    x = 224,429,905.16/23,294.56
  6. Step 6: Final answer
    x = 9,634.43

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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.