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Finding the Fourth Proportional to 13,527.74, 18,667.92 and 7,559.45

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Solution

The fourth proportional to 13,527.74, 18,667.92 and 7,559.45 is: 10,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.74 : 18,667.92 = 7,559.45 : x
  2. Step 2: Convert to fraction form
    13,527.74/18,667.92 = 7,559.45/x
  3. Step 3: Cross multiply
    13,527.74x = 18,667.92 × 7,559.45
  4. Step 4: Simplify right side
    13,527.74x = 141,119,170.05
  5. Step 5: Solve for x
    x = 141,119,170.05/13,527.74
  6. Step 6: Final answer
    x = 10,431.84

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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.