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Finding the Fourth Proportional to 13,535.98, 18,679.86 and 7,567.62

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Solution

The fourth proportional to 13,535.98, 18,679.86 and 7,567.62 is: 10,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.98 : 18,679.86 = 7,567.62 : x
  2. Step 2: Convert to fraction form
    13,535.98/18,679.86 = 7,567.62/x
  3. Step 3: Cross multiply
    13,535.98x = 18,679.86 × 7,567.62
  4. Step 4: Simplify right side
    13,535.98x = 141,362,082.13
  5. Step 5: Solve for x
    x = 141,362,082.13/13,535.98
  6. Step 6: Final answer
    x = 10,443.43

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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.