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Finding the Fourth Proportional to 12,257.96, 18,372.36 and 4,457.72

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Solution

The fourth proportional to 12,257.96, 18,372.36 and 4,457.72 is: 6,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.96 : 18,372.36 = 4,457.72 : x
  2. Step 2: Convert to fraction form
    12,257.96/18,372.36 = 4,457.72/x
  3. Step 3: Cross multiply
    12,257.96x = 18,372.36 × 4,457.72
  4. Step 4: Simplify right side
    12,257.96x = 81,898,836.62
  5. Step 5: Solve for x
    x = 81,898,836.62/12,257.96
  6. Step 6: Final answer
    x = 6,681.28

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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.