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Finding the Fourth Proportional to 13,629.26, 18,809.92 and 7,580.10

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Solution

The fourth proportional to 13,629.26, 18,809.92 and 7,580.10 is: 10,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629.26 : 18,809.92 = 7,580.10 : x
  2. Step 2: Convert to fraction form
    13,629.26/18,809.92 = 7,580.10/x
  3. Step 3: Cross multiply
    13,629.26x = 18,809.92 × 7,580.10
  4. Step 4: Simplify right side
    13,629.26x = 142,581,074.59
  5. Step 5: Solve for x
    x = 142,581,074.59/13,629.26
  6. Step 6: Final answer
    x = 10,461.40

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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.