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Finding the Fourth Proportional to 13,567.88, 20,355.06 and 5,666

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Solution

The fourth proportional to 13,567.88, 20,355.06 and 5,666 is: 8,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.88 : 20,355.06 = 5,666 : x
  2. Step 2: Convert to fraction form
    13,567.88/20,355.06 = 5,666/x
  3. Step 3: Cross multiply
    13,567.88x = 20,355.06 × 5,666
  4. Step 4: Simplify right side
    13,567.88x = 115,331,769.96
  5. Step 5: Solve for x
    x = 115,331,769.96/13,567.88
  6. Step 6: Final answer
    x = 8,500.35

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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.