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Finding the Fourth Proportional to 14,099.74, 19,457.60 and 8,131.40

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Solution

The fourth proportional to 14,099.74, 19,457.60 and 8,131.40 is: 11,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.74 : 19,457.60 = 8,131.40 : x
  2. Step 2: Convert to fraction form
    14,099.74/19,457.60 = 8,131.40/x
  3. Step 3: Cross multiply
    14,099.74x = 19,457.60 × 8,131.40
  4. Step 4: Simplify right side
    14,099.74x = 158,217,528.64
  5. Step 5: Solve for x
    x = 158,217,528.64/14,099.74
  6. Step 6: Final answer
    x = 11,221.31

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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.