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Finding the Fourth Proportional to 23,532, 35,305.29 and 9,681

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Solution

The fourth proportional to 23,532, 35,305.29 and 9,681 is: 14,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532 : 35,305.29 = 9,681 : x
  2. Step 2: Convert to fraction form
    23,532/35,305.29 = 9,681/x
  3. Step 3: Cross multiply
    23,532x = 35,305.29 × 9,681
  4. Step 4: Simplify right side
    23,532x = 341,790,512.49
  5. Step 5: Solve for x
    x = 341,790,512.49/23,532
  6. Step 6: Final answer
    x = 14,524.50

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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.