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Finding the Fourth Proportional to 23,931, 35,902.29 and 7,515

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Solution

The fourth proportional to 23,931, 35,902.29 and 7,515 is: 11,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931 : 35,902.29 = 7,515 : x
  2. Step 2: Convert to fraction form
    23,931/35,902.29 = 7,515/x
  3. Step 3: Cross multiply
    23,931x = 35,902.29 × 7,515
  4. Step 4: Simplify right side
    23,931x = 269,805,709.35
  5. Step 5: Solve for x
    x = 269,805,709.35/23,931
  6. Step 6: Final answer
    x = 11,274.32

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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.