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Finding the Fourth Proportional to 19,973.96, 29,964.78 and 7,661

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Solution

The fourth proportional to 19,973.96, 29,964.78 and 7,661 is: 11,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.96 : 29,964.78 = 7,661 : x
  2. Step 2: Convert to fraction form
    19,973.96/29,964.78 = 7,661/x
  3. Step 3: Cross multiply
    19,973.96x = 29,964.78 × 7,661
  4. Step 4: Simplify right side
    19,973.96x = 229,560,179.58
  5. Step 5: Solve for x
    x = 229,560,179.58/19,973.96
  6. Step 6: Final answer
    x = 11,492.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.