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Finding the Fourth Proportional to 13,535.82, 18,675.03 and 7,566.51

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Solution

The fourth proportional to 13,535.82, 18,675.03 and 7,566.51 is: 10,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.82 : 18,675.03 = 7,566.51 : x
  2. Step 2: Convert to fraction form
    13,535.82/18,675.03 = 7,566.51/x
  3. Step 3: Cross multiply
    13,535.82x = 18,675.03 × 7,566.51
  4. Step 4: Simplify right side
    13,535.82x = 141,304,801.25
  5. Step 5: Solve for x
    x = 141,304,801.25/13,535.82
  6. Step 6: Final answer
    x = 10,439.32

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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.