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Finding the Fourth Proportional to 13,567.97, 18,724.94 and 7,903.23

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Solution

The fourth proportional to 13,567.97, 18,724.94 and 7,903.23 is: 10,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.97 : 18,724.94 = 7,903.23 : x
  2. Step 2: Convert to fraction form
    13,567.97/18,724.94 = 7,903.23/x
  3. Step 3: Cross multiply
    13,567.97x = 18,724.94 × 7,903.23
  4. Step 4: Simplify right side
    13,567.97x = 147,987,468.04
  5. Step 5: Solve for x
    x = 147,987,468.04/13,567.97
  6. Step 6: Final answer
    x = 10,907.12

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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.