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Finding the Fourth Proportional to 13,567.44, 20,354.04 and 4,208.16

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Solution

The fourth proportional to 13,567.44, 20,354.04 and 4,208.16 is: 6,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.44 : 20,354.04 = 4,208.16 : x
  2. Step 2: Convert to fraction form
    13,567.44/20,354.04 = 4,208.16/x
  3. Step 3: Cross multiply
    13,567.44x = 20,354.04 × 4,208.16
  4. Step 4: Simplify right side
    13,567.44x = 85,653,056.97
  5. Step 5: Solve for x
    x = 85,653,056.97/13,567.44
  6. Step 6: Final answer
    x = 6,313.13

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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.