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Finding the Fourth Proportional to 13,527.50, 18,665.90 and 7,559.42

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Solution

The fourth proportional to 13,527.50, 18,665.90 and 7,559.42 is: 10,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.50 : 18,665.90 = 7,559.42 : x
  2. Step 2: Convert to fraction form
    13,527.50/18,665.90 = 7,559.42/x
  3. Step 3: Cross multiply
    13,527.50x = 18,665.90 × 7,559.42
  4. Step 4: Simplify right side
    13,527.50x = 141,103,377.78
  5. Step 5: Solve for x
    x = 141,103,377.78/13,527.50
  6. Step 6: Final answer
    x = 10,430.85

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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.