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Finding the Fourth Proportional to 12,563.74, 18,828 and 9,441.76

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Solution

The fourth proportional to 12,563.74, 18,828 and 9,441.76 is: 14,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.74 : 18,828 = 9,441.76 : x
  2. Step 2: Convert to fraction form
    12,563.74/18,828 = 9,441.76/x
  3. Step 3: Cross multiply
    12,563.74x = 18,828 × 9,441.76
  4. Step 4: Simplify right side
    12,563.74x = 177,769,457.28
  5. Step 5: Solve for x
    x = 177,769,457.28/12,563.74
  6. Step 6: Final answer
    x = 14,149.41

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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.