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Finding the Fourth Proportional to 13,375.91, 18,457.23 and 7,406.07

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Solution

The fourth proportional to 13,375.91, 18,457.23 and 7,406.07 is: 10,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.91 : 18,457.23 = 7,406.07 : x
  2. Step 2: Convert to fraction form
    13,375.91/18,457.23 = 7,406.07/x
  3. Step 3: Cross multiply
    13,375.91x = 18,457.23 × 7,406.07
  4. Step 4: Simplify right side
    13,375.91x = 136,695,537.39
  5. Step 5: Solve for x
    x = 136,695,537.39/13,375.91
  6. Step 6: Final answer
    x = 10,219.54

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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.