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Finding the Fourth Proportional to 13,892.30, 20,814.18 and 11,567.24

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Solution

The fourth proportional to 13,892.30, 20,814.18 and 11,567.24 is: 17,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.30 : 20,814.18 = 11,567.24 : x
  2. Step 2: Convert to fraction form
    13,892.30/20,814.18 = 11,567.24/x
  3. Step 3: Cross multiply
    13,892.30x = 20,814.18 × 11,567.24
  4. Step 4: Simplify right side
    13,892.30x = 240,762,615.46
  5. Step 5: Solve for x
    x = 240,762,615.46/13,892.30
  6. Step 6: Final answer
    x = 17,330.65

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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.