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Finding the Fourth Proportional to 14,012.40, 20,975.40 and 12,457.20

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Solution

The fourth proportional to 14,012.40, 20,975.40 and 12,457.20 is: 18,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.40 : 20,975.40 = 12,457.20 : x
  2. Step 2: Convert to fraction form
    14,012.40/20,975.40 = 12,457.20/x
  3. Step 3: Cross multiply
    14,012.40x = 20,975.40 × 12,457.20
  4. Step 4: Simplify right side
    14,012.40x = 261,294,752.88
  5. Step 5: Solve for x
    x = 261,294,752.88/14,012.40
  6. Step 6: Final answer
    x = 18,647.39

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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.