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Finding the Fourth Proportional to 22,852.44, 31,536.88 and 16,149.89

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Solution

The fourth proportional to 22,852.44, 31,536.88 and 16,149.89 is: 22,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.44 : 31,536.88 = 16,149.89 : x
  2. Step 2: Convert to fraction form
    22,852.44/31,536.88 = 16,149.89/x
  3. Step 3: Cross multiply
    22,852.44x = 31,536.88 × 16,149.89
  4. Step 4: Simplify right side
    22,852.44x = 509,317,181.41
  5. Step 5: Solve for x
    x = 509,317,181.41/22,852.44
  6. Step 6: Final answer
    x = 22,287.21

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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.