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Finding the Fourth Proportional to 13,374.72, 18,457.37 and 7,406.54

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Solution

The fourth proportional to 13,374.72, 18,457.37 and 7,406.54 is: 10,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.72 : 18,457.37 = 7,406.54 : x
  2. Step 2: Convert to fraction form
    13,374.72/18,457.37 = 7,406.54/x
  3. Step 3: Cross multiply
    13,374.72x = 18,457.37 × 7,406.54
  4. Step 4: Simplify right side
    13,374.72x = 136,705,216.87
  5. Step 5: Solve for x
    x = 136,705,216.87/13,374.72
  6. Step 6: Final answer
    x = 10,221.16

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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.