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Finding the Fourth Proportional to 13,645.40, 20,431.64 and 8,688.20

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Solution

The fourth proportional to 13,645.40, 20,431.64 and 8,688.20 is: 13,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.40 : 20,431.64 = 8,688.20 : x
  2. Step 2: Convert to fraction form
    13,645.40/20,431.64 = 8,688.20/x
  3. Step 3: Cross multiply
    13,645.40x = 20,431.64 × 8,688.20
  4. Step 4: Simplify right side
    13,645.40x = 177,514,174.65
  5. Step 5: Solve for x
    x = 177,514,174.65/13,645.40
  6. Step 6: Final answer
    x = 13,009.09

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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.