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Finding the Fourth Proportional to 23,615.29, 35,411.64 and 13,757.38

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Solution

The fourth proportional to 23,615.29, 35,411.64 and 13,757.38 is: 20,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.29 : 35,411.64 = 13,757.38 : x
  2. Step 2: Convert to fraction form
    23,615.29/35,411.64 = 13,757.38/x
  3. Step 3: Cross multiply
    23,615.29x = 35,411.64 × 13,757.38
  4. Step 4: Simplify right side
    23,615.29x = 487,171,387.90
  5. Step 5: Solve for x
    x = 487,171,387.90/23,615.29
  6. Step 6: Final answer
    x = 20,629.49

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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.