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Finding the Fourth Proportional to 19,780.22, 29,672.91 and 7,308.98

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Solution

The fourth proportional to 19,780.22, 29,672.91 and 7,308.98 is: 10,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.22 : 29,672.91 = 7,308.98 : x
  2. Step 2: Convert to fraction form
    19,780.22/29,672.91 = 7,308.98/x
  3. Step 3: Cross multiply
    19,780.22x = 29,672.91 × 7,308.98
  4. Step 4: Simplify right side
    19,780.22x = 216,878,705.73
  5. Step 5: Solve for x
    x = 216,878,705.73/19,780.22
  6. Step 6: Final answer
    x = 10,964.42

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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.