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Finding the Fourth Proportional to 14,762.75, 20,372.60 and 9,457.57

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Solution

The fourth proportional to 14,762.75, 20,372.60 and 9,457.57 is: 13,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.75 : 20,372.60 = 9,457.57 : x
  2. Step 2: Convert to fraction form
    14,762.75/20,372.60 = 9,457.57/x
  3. Step 3: Cross multiply
    14,762.75x = 20,372.60 × 9,457.57
  4. Step 4: Simplify right side
    14,762.75x = 192,675,141.43
  5. Step 5: Solve for x
    x = 192,675,141.43/14,762.75
  6. Step 6: Final answer
    x = 13,051.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.