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Finding the Fourth Proportional to 19,841.90, 29,762.82 and 8,146.88

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Solution

The fourth proportional to 19,841.90, 29,762.82 and 8,146.88 is: 12,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.90 : 29,762.82 = 8,146.88 : x
  2. Step 2: Convert to fraction form
    19,841.90/29,762.82 = 8,146.88/x
  3. Step 3: Cross multiply
    19,841.90x = 29,762.82 × 8,146.88
  4. Step 4: Simplify right side
    19,841.90x = 242,474,123.00
  5. Step 5: Solve for x
    x = 242,474,123.00/19,841.90
  6. Step 6: Final answer
    x = 12,220.31

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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.