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Finding the Fourth Proportional to 29,833.68, 41,165.91 and 17,256

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Solution

The fourth proportional to 29,833.68, 41,165.91 and 17,256 is: 23,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.68 : 41,165.91 = 17,256 : x
  2. Step 2: Convert to fraction form
    29,833.68/41,165.91 = 17,256/x
  3. Step 3: Cross multiply
    29,833.68x = 41,165.91 × 17,256
  4. Step 4: Simplify right side
    29,833.68x = 710,358,942.96
  5. Step 5: Solve for x
    x = 710,358,942.96/29,833.68
  6. Step 6: Final answer
    x = 23,810.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.