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Finding the Fourth Proportional to 12,347.96, 18,503.37 and 7,412.22

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Solution

The fourth proportional to 12,347.96, 18,503.37 and 7,412.22 is: 11,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.96 : 18,503.37 = 7,412.22 : x
  2. Step 2: Convert to fraction form
    12,347.96/18,503.37 = 7,412.22/x
  3. Step 3: Cross multiply
    12,347.96x = 18,503.37 × 7,412.22
  4. Step 4: Simplify right side
    12,347.96x = 137,151,049.18
  5. Step 5: Solve for x
    x = 137,151,049.18/12,347.96
  6. Step 6: Final answer
    x = 11,107.19

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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.