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Finding the Fourth Proportional to 22,842.18, 31,520.46 and 13,888.44

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Solution

The fourth proportional to 22,842.18, 31,520.46 and 13,888.44 is: 19,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.18 : 31,520.46 = 13,888.44 : x
  2. Step 2: Convert to fraction form
    22,842.18/31,520.46 = 13,888.44/x
  3. Step 3: Cross multiply
    22,842.18x = 31,520.46 × 13,888.44
  4. Step 4: Simplify right side
    22,842.18x = 437,769,859.88
  5. Step 5: Solve for x
    x = 437,769,859.88/22,842.18
  6. Step 6: Final answer
    x = 19,164.98

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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.