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Finding the Fourth Proportional to 13,457.99, 20,188.01 and 4,098.80

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Solution

The fourth proportional to 13,457.99, 20,188.01 and 4,098.80 is: 6,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.99 : 20,188.01 = 4,098.80 : x
  2. Step 2: Convert to fraction form
    13,457.99/20,188.01 = 4,098.80/x
  3. Step 3: Cross multiply
    13,457.99x = 20,188.01 × 4,098.80
  4. Step 4: Simplify right side
    13,457.99x = 82,746,493.95
  5. Step 5: Solve for x
    x = 82,746,493.95/13,457.99
  6. Step 6: Final answer
    x = 6,148.51

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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.