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Finding the Fourth Proportional to 13,709.23, 18,918.78 and 7,421.59

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Solution

The fourth proportional to 13,709.23, 18,918.78 and 7,421.59 is: 10,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.23 : 18,918.78 = 7,421.59 : x
  2. Step 2: Convert to fraction form
    13,709.23/18,918.78 = 7,421.59/x
  3. Step 3: Cross multiply
    13,709.23x = 18,918.78 × 7,421.59
  4. Step 4: Simplify right side
    13,709.23x = 140,407,428.46
  5. Step 5: Solve for x
    x = 140,407,428.46/13,709.23
  6. Step 6: Final answer
    x = 10,241.82

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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.