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Finding the Fourth Proportional to 23,294.88, 34,938 and 7,710.48

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Solution

The fourth proportional to 23,294.88, 34,938 and 7,710.48 is: 11,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.88 : 34,938 = 7,710.48 : x
  2. Step 2: Convert to fraction form
    23,294.88/34,938 = 7,710.48/x
  3. Step 3: Cross multiply
    23,294.88x = 34,938 × 7,710.48
  4. Step 4: Simplify right side
    23,294.88x = 269,388,750.24
  5. Step 5: Solve for x
    x = 269,388,750.24/23,294.88
  6. Step 6: Final answer
    x = 11,564.29

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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.