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Finding the Fourth Proportional to 19,775.72, 29,663.82 and 6,628.14

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Solution

The fourth proportional to 19,775.72, 29,663.82 and 6,628.14 is: 9,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.72 : 29,663.82 = 6,628.14 : x
  2. Step 2: Convert to fraction form
    19,775.72/29,663.82 = 6,628.14/x
  3. Step 3: Cross multiply
    19,775.72x = 29,663.82 × 6,628.14
  4. Step 4: Simplify right side
    19,775.72x = 196,615,951.89
  5. Step 5: Solve for x
    x = 196,615,951.89/19,775.72
  6. Step 6: Final answer
    x = 9,942.29

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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.