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Finding the Fourth Proportional to 13,567.68, 20,347.20 and 6,647.04

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Solution

The fourth proportional to 13,567.68, 20,347.20 and 6,647.04 is: 9,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.68 : 20,347.20 = 6,647.04 : x
  2. Step 2: Convert to fraction form
    13,567.68/20,347.20 = 6,647.04/x
  3. Step 3: Cross multiply
    13,567.68x = 20,347.20 × 6,647.04
  4. Step 4: Simplify right side
    13,567.68x = 135,248,652.29
  5. Step 5: Solve for x
    x = 135,248,652.29/13,567.68
  6. Step 6: Final answer
    x = 9,968.44

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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.