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Finding the Fourth Proportional to 11,567.34, 17,346.42 and 4,169.22

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Solution

The fourth proportional to 11,567.34, 17,346.42 and 4,169.22 is: 6,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.34 : 17,346.42 = 4,169.22 : x
  2. Step 2: Convert to fraction form
    11,567.34/17,346.42 = 4,169.22/x
  3. Step 3: Cross multiply
    11,567.34x = 17,346.42 × 4,169.22
  4. Step 4: Simplify right side
    11,567.34x = 72,321,041.19
  5. Step 5: Solve for x
    x = 72,321,041.19/11,567.34
  6. Step 6: Final answer
    x = 6,252.18

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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.