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Finding the Fourth Proportional to 13,615.92, 20,409.32 and 7,040.40

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Solution

The fourth proportional to 13,615.92, 20,409.32 and 7,040.40 is: 10,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.92 : 20,409.32 = 7,040.40 : x
  2. Step 2: Convert to fraction form
    13,615.92/20,409.32 = 7,040.40/x
  3. Step 3: Cross multiply
    13,615.92x = 20,409.32 × 7,040.40
  4. Step 4: Simplify right side
    13,615.92x = 143,689,776.53
  5. Step 5: Solve for x
    x = 143,689,776.53/13,615.92
  6. Step 6: Final answer
    x = 10,553.07

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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.