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Finding the Fourth Proportional to 23,812.38, 35,720.28 and 6,282

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Solution

The fourth proportional to 23,812.38, 35,720.28 and 6,282 is: 9,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.38 : 35,720.28 = 6,282 : x
  2. Step 2: Convert to fraction form
    23,812.38/35,720.28 = 6,282/x
  3. Step 3: Cross multiply
    23,812.38x = 35,720.28 × 6,282
  4. Step 4: Simplify right side
    23,812.38x = 224,394,798.96
  5. Step 5: Solve for x
    x = 224,394,798.96/23,812.38
  6. Step 6: Final answer
    x = 9,423.45

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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.