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Finding the Fourth Proportional to 19,650.90, 29,488.50 and 7,964.22

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Solution

The fourth proportional to 19,650.90, 29,488.50 and 7,964.22 is: 11,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650.90 : 29,488.50 = 7,964.22 : x
  2. Step 2: Convert to fraction form
    19,650.90/29,488.50 = 7,964.22/x
  3. Step 3: Cross multiply
    19,650.90x = 29,488.50 × 7,964.22
  4. Step 4: Simplify right side
    19,650.90x = 234,852,901.47
  5. Step 5: Solve for x
    x = 234,852,901.47/19,650.90
  6. Step 6: Final answer
    x = 11,951.25

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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.