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Finding the Fourth Proportional to 12,406.34, 17,119.09 and 7,688.90

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Solution

The fourth proportional to 12,406.34, 17,119.09 and 7,688.90 is: 10,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.34 : 17,119.09 = 7,688.90 : x
  2. Step 2: Convert to fraction form
    12,406.34/17,119.09 = 7,688.90/x
  3. Step 3: Cross multiply
    12,406.34x = 17,119.09 × 7,688.90
  4. Step 4: Simplify right side
    12,406.34x = 131,626,971.10
  5. Step 5: Solve for x
    x = 131,626,971.10/12,406.34
  6. Step 6: Final answer
    x = 10,609.65

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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.