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Finding the Fourth Proportional to 21,175.34, 31,759.34 and 7,846.79

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Solution

The fourth proportional to 21,175.34, 31,759.34 and 7,846.79 is: 11,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.34 : 31,759.34 = 7,846.79 : x
  2. Step 2: Convert to fraction form
    21,175.34/31,759.34 = 7,846.79/x
  3. Step 3: Cross multiply
    21,175.34x = 31,759.34 × 7,846.79
  4. Step 4: Simplify right side
    21,175.34x = 249,208,673.49
  5. Step 5: Solve for x
    x = 249,208,673.49/21,175.34
  6. Step 6: Final answer
    x = 11,768.82

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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.