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Finding the Fourth Proportional to 13,567.77, 20,334.65 and 7,727.67

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Solution

The fourth proportional to 13,567.77, 20,334.65 and 7,727.67 is: 11,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.77 : 20,334.65 = 7,727.67 : x
  2. Step 2: Convert to fraction form
    13,567.77/20,334.65 = 7,727.67/x
  3. Step 3: Cross multiply
    13,567.77x = 20,334.65 × 7,727.67
  4. Step 4: Simplify right side
    13,567.77x = 157,139,426.13
  5. Step 5: Solve for x
    x = 157,139,426.13/13,567.77
  6. Step 6: Final answer
    x = 11,581.82

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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.