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Finding the Fourth Proportional to 23,532, 35,314.20 and 9,681

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Solution

The fourth proportional to 23,532, 35,314.20 and 9,681 is: 14,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532 : 35,314.20 = 9,681 : x
  2. Step 2: Convert to fraction form
    23,532/35,314.20 = 9,681/x
  3. Step 3: Cross multiply
    23,532x = 35,314.20 × 9,681
  4. Step 4: Simplify right side
    23,532x = 341,876,770.20
  5. Step 5: Solve for x
    x = 341,876,770.20/23,532
  6. Step 6: Final answer
    x = 14,528.16

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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.