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Finding the Fourth Proportional to 23,294.70, 34,931.28 and 7,496.82

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Solution

The fourth proportional to 23,294.70, 34,931.28 and 7,496.82 is: 11,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.70 : 34,931.28 = 7,496.82 : x
  2. Step 2: Convert to fraction form
    23,294.70/34,931.28 = 7,496.82/x
  3. Step 3: Cross multiply
    23,294.70x = 34,931.28 × 7,496.82
  4. Step 4: Simplify right side
    23,294.70x = 261,873,518.53
  5. Step 5: Solve for x
    x = 261,873,518.53/23,294.70
  6. Step 6: Final answer
    x = 11,241.76

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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.