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Finding the Fourth Proportional to 23,746.92, 32,779.04 and 13,679.43

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Solution

The fourth proportional to 23,746.92, 32,779.04 and 13,679.43 is: 18,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746.92 : 32,779.04 = 13,679.43 : x
  2. Step 2: Convert to fraction form
    23,746.92/32,779.04 = 13,679.43/x
  3. Step 3: Cross multiply
    23,746.92x = 32,779.04 × 13,679.43
  4. Step 4: Simplify right side
    23,746.92x = 448,398,514.75
  5. Step 5: Solve for x
    x = 448,398,514.75/23,746.92
  6. Step 6: Final answer
    x = 18,882.39

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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.