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Finding the Fourth Proportional to 13,457.86, 20,187.82 and 4,098.67

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Solution

The fourth proportional to 13,457.86, 20,187.82 and 4,098.67 is: 6,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.86 : 20,187.82 = 4,098.67 : x
  2. Step 2: Convert to fraction form
    13,457.86/20,187.82 = 4,098.67/x
  3. Step 3: Cross multiply
    13,457.86x = 20,187.82 × 4,098.67
  4. Step 4: Simplify right side
    13,457.86x = 82,743,227.19
  5. Step 5: Solve for x
    x = 82,743,227.19/13,457.86
  6. Step 6: Final answer
    x = 6,148.32

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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.