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Finding the Fourth Proportional to 13,667.55, 20,506.61 and 7,089.63

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Solution

The fourth proportional to 13,667.55, 20,506.61 and 7,089.63 is: 10,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.55 : 20,506.61 = 7,089.63 : x
  2. Step 2: Convert to fraction form
    13,667.55/20,506.61 = 7,089.63/x
  3. Step 3: Cross multiply
    13,667.55x = 20,506.61 × 7,089.63
  4. Step 4: Simplify right side
    13,667.55x = 145,384,242.01
  5. Step 5: Solve for x
    x = 145,384,242.01/13,667.55
  6. Step 6: Final answer
    x = 10,637.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.