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Finding the Fourth Proportional to 12,914.10, 17,823.11 and 7,609.41

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Solution

The fourth proportional to 12,914.10, 17,823.11 and 7,609.41 is: 10,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.10 : 17,823.11 = 7,609.41 : x
  2. Step 2: Convert to fraction form
    12,914.10/17,823.11 = 7,609.41/x
  3. Step 3: Cross multiply
    12,914.10x = 17,823.11 × 7,609.41
  4. Step 4: Simplify right side
    12,914.10x = 135,623,313.42
  5. Step 5: Solve for x
    x = 135,623,313.42/12,914.10
  6. Step 6: Final answer
    x = 10,501.96

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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.