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Finding the Fourth Proportional to 13,530.12, 20,289.99 and 6,505.69

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Solution

The fourth proportional to 13,530.12, 20,289.99 and 6,505.69 is: 9,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.12 : 20,289.99 = 6,505.69 : x
  2. Step 2: Convert to fraction form
    13,530.12/20,289.99 = 6,505.69/x
  3. Step 3: Cross multiply
    13,530.12x = 20,289.99 × 6,505.69
  4. Step 4: Simplify right side
    13,530.12x = 132,000,385.04
  5. Step 5: Solve for x
    x = 132,000,385.04/13,530.12
  6. Step 6: Final answer
    x = 9,756.04

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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.