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Finding the Fourth Proportional to 14,457.37, 21,676.76 and 6,135.16

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Solution

The fourth proportional to 14,457.37, 21,676.76 and 6,135.16 is: 9,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.37 : 21,676.76 = 6,135.16 : x
  2. Step 2: Convert to fraction form
    14,457.37/21,676.76 = 6,135.16/x
  3. Step 3: Cross multiply
    14,457.37x = 21,676.76 × 6,135.16
  4. Step 4: Simplify right side
    14,457.37x = 132,990,390.88
  5. Step 5: Solve for x
    x = 132,990,390.88/14,457.37
  6. Step 6: Final answer
    x = 9,198.80

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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.