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Finding the Fourth Proportional to 13,527.21, 18,667.64 and 7,559.13

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Solution

The fourth proportional to 13,527.21, 18,667.64 and 7,559.13 is: 10,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.21 : 18,667.64 = 7,559.13 : x
  2. Step 2: Convert to fraction form
    13,527.21/18,667.64 = 7,559.13/x
  3. Step 3: Cross multiply
    13,527.21x = 18,667.64 × 7,559.13
  4. Step 4: Simplify right side
    13,527.21x = 141,110,986.42
  5. Step 5: Solve for x
    x = 141,110,986.42/13,527.21
  6. Step 6: Final answer
    x = 10,431.64

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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.