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Finding the Fourth Proportional to 29,458.21, 40,638.90 and 17,514.76

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Solution

The fourth proportional to 29,458.21, 40,638.90 and 17,514.76 is: 24,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458.21 : 40,638.90 = 17,514.76 : x
  2. Step 2: Convert to fraction form
    29,458.21/40,638.90 = 17,514.76/x
  3. Step 3: Cross multiply
    29,458.21x = 40,638.90 × 17,514.76
  4. Step 4: Simplify right side
    29,458.21x = 711,780,580.16
  5. Step 5: Solve for x
    x = 711,780,580.16/29,458.21
  6. Step 6: Final answer
    x = 24,162.38

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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.