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Finding the Fourth Proportional to 16,970.96, 25,446.17 and 7,609.24

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Solution

The fourth proportional to 16,970.96, 25,446.17 and 7,609.24 is: 11,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.96 : 25,446.17 = 7,609.24 : x
  2. Step 2: Convert to fraction form
    16,970.96/25,446.17 = 7,609.24/x
  3. Step 3: Cross multiply
    16,970.96x = 25,446.17 × 7,609.24
  4. Step 4: Simplify right side
    16,970.96x = 193,626,014.61
  5. Step 5: Solve for x
    x = 193,626,014.61/16,970.96
  6. Step 6: Final answer
    x = 11,409.26

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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.