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Finding the Fourth Proportional to 23,627.44, 35,456 and 9,587.53

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Solution

The fourth proportional to 23,627.44, 35,456 and 9,587.53 is: 14,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627.44 : 35,456 = 9,587.53 : x
  2. Step 2: Convert to fraction form
    23,627.44/35,456 = 9,587.53/x
  3. Step 3: Cross multiply
    23,627.44x = 35,456 × 9,587.53
  4. Step 4: Simplify right side
    23,627.44x = 339,935,463.68
  5. Step 5: Solve for x
    x = 339,935,463.68/23,627.44
  6. Step 6: Final answer
    x = 14,387.32

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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.