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Finding the Fourth Proportional to 23,880, 35,820 and 9,288

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Solution

The fourth proportional to 23,880, 35,820 and 9,288 is: 13,932

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880 : 35,820 = 9,288 : x
  2. Step 2: Convert to fraction form
    23,880/35,820 = 9,288/x
  3. Step 3: Cross multiply
    23,880x = 35,820 × 9,288
  4. Step 4: Simplify right side
    23,880x = 332,696,160
  5. Step 5: Solve for x
    x = 332,696,160/23,880
  6. Step 6: Final answer
    x = 13,932

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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.