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Finding the Fourth Proportional to 13,250.88, 18,293.58 and 7,947

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Solution

The fourth proportional to 13,250.88, 18,293.58 and 7,947 is: 10,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.88 : 18,293.58 = 7,947 : x
  2. Step 2: Convert to fraction form
    13,250.88/18,293.58 = 7,947/x
  3. Step 3: Cross multiply
    13,250.88x = 18,293.58 × 7,947
  4. Step 4: Simplify right side
    13,250.88x = 145,379,080.26
  5. Step 5: Solve for x
    x = 145,379,080.26/13,250.88
  6. Step 6: Final answer
    x = 10,971.28

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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.