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Finding the Fourth Proportional to 24,502.90, 33,814.36 and 13,892.30

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Solution

The fourth proportional to 24,502.90, 33,814.36 and 13,892.30 is: 19,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.90 : 33,814.36 = 13,892.30 : x
  2. Step 2: Convert to fraction form
    24,502.90/33,814.36 = 13,892.30/x
  3. Step 3: Cross multiply
    24,502.90x = 33,814.36 × 13,892.30
  4. Step 4: Simplify right side
    24,502.90x = 469,759,233.43
  5. Step 5: Solve for x
    x = 469,759,233.43/24,502.90
  6. Step 6: Final answer
    x = 19,171.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.