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Finding the Fourth Proportional to 22,842.90, 31,532.91 and 13,893.27

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Solution

The fourth proportional to 22,842.90, 31,532.91 and 13,893.27 is: 19,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.90 : 31,532.91 = 13,893.27 : x
  2. Step 2: Convert to fraction form
    22,842.90/31,532.91 = 13,893.27/x
  3. Step 3: Cross multiply
    22,842.90x = 31,532.91 × 13,893.27
  4. Step 4: Simplify right side
    22,842.90x = 438,095,311.35
  5. Step 5: Solve for x
    x = 438,095,311.35/22,842.90
  6. Step 6: Final answer
    x = 19,178.62

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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.