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Finding the Fourth Proportional to 13,534.35, 18,676.89 and 7,565.73

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Solution

The fourth proportional to 13,534.35, 18,676.89 and 7,565.73 is: 10,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.35 : 18,676.89 = 7,565.73 : x
  2. Step 2: Convert to fraction form
    13,534.35/18,676.89 = 7,565.73/x
  3. Step 3: Cross multiply
    13,534.35x = 18,676.89 × 7,565.73
  4. Step 4: Simplify right side
    13,534.35x = 141,304,306.98
  5. Step 5: Solve for x
    x = 141,304,306.98/13,534.35
  6. Step 6: Final answer
    x = 10,440.42

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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.