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Finding the Fourth Proportional to 22,759.82, 34,139.54 and 6,964.79

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Solution

The fourth proportional to 22,759.82, 34,139.54 and 6,964.79 is: 10,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.82 : 34,139.54 = 6,964.79 : x
  2. Step 2: Convert to fraction form
    22,759.82/34,139.54 = 6,964.79/x
  3. Step 3: Cross multiply
    22,759.82x = 34,139.54 × 6,964.79
  4. Step 4: Simplify right side
    22,759.82x = 237,774,573.51
  5. Step 5: Solve for x
    x = 237,774,573.51/22,759.82
  6. Step 6: Final answer
    x = 10,447.12

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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.