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Finding the Fourth Proportional to 13,022.25, 17,973.14 and 7,433.25

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Solution

The fourth proportional to 13,022.25, 17,973.14 and 7,433.25 is: 10,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.25 : 17,973.14 = 7,433.25 : x
  2. Step 2: Convert to fraction form
    13,022.25/17,973.14 = 7,433.25/x
  3. Step 3: Cross multiply
    13,022.25x = 17,973.14 × 7,433.25
  4. Step 4: Simplify right side
    13,022.25x = 133,598,805.74
  5. Step 5: Solve for x
    x = 133,598,805.74/13,022.25
  6. Step 6: Final answer
    x = 10,259.27

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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.