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Finding the Fourth Proportional to 15,513.57, 21,409.26 and 8,440.26

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Solution

The fourth proportional to 15,513.57, 21,409.26 and 8,440.26 is: 11,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.57 : 21,409.26 = 8,440.26 : x
  2. Step 2: Convert to fraction form
    15,513.57/21,409.26 = 8,440.26/x
  3. Step 3: Cross multiply
    15,513.57x = 21,409.26 × 8,440.26
  4. Step 4: Simplify right side
    15,513.57x = 180,699,720.81
  5. Step 5: Solve for x
    x = 180,699,720.81/15,513.57
  6. Step 6: Final answer
    x = 11,647.85

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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.