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Finding the Fourth Proportional to 13,374.05, 18,457.22 and 7,406.27

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Solution

The fourth proportional to 13,374.05, 18,457.22 and 7,406.27 is: 10,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.05 : 18,457.22 = 7,406.27 : x
  2. Step 2: Convert to fraction form
    13,374.05/18,457.22 = 7,406.27/x
  3. Step 3: Cross multiply
    13,374.05x = 18,457.22 × 7,406.27
  4. Step 4: Simplify right side
    13,374.05x = 136,699,154.77
  5. Step 5: Solve for x
    x = 136,699,154.77/13,374.05
  6. Step 6: Final answer
    x = 10,221.22

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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.