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Finding the Fourth Proportional to 12,354.75, 18,532.13 and 4,563.56

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Solution

The fourth proportional to 12,354.75, 18,532.13 and 4,563.56 is: 6,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.75 : 18,532.13 = 4,563.56 : x
  2. Step 2: Convert to fraction form
    12,354.75/18,532.13 = 4,563.56/x
  3. Step 3: Cross multiply
    12,354.75x = 18,532.13 × 4,563.56
  4. Step 4: Simplify right side
    12,354.75x = 84,572,510.70
  5. Step 5: Solve for x
    x = 84,572,510.70/12,354.75
  6. Step 6: Final answer
    x = 6,845.34

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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.