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Finding the Fourth Proportional to 13,567.39, 18,721.21 and 7,825.06

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Solution

The fourth proportional to 13,567.39, 18,721.21 and 7,825.06 is: 10,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.39 : 18,721.21 = 7,825.06 : x
  2. Step 2: Convert to fraction form
    13,567.39/18,721.21 = 7,825.06/x
  3. Step 3: Cross multiply
    13,567.39x = 18,721.21 × 7,825.06
  4. Step 4: Simplify right side
    13,567.39x = 146,494,591.52
  5. Step 5: Solve for x
    x = 146,494,591.52/13,567.39
  6. Step 6: Final answer
    x = 10,797.55

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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.