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Finding the Fourth Proportional to 24,703.38, 34,090.56 and 14,096.34

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Solution

The fourth proportional to 24,703.38, 34,090.56 and 14,096.34 is: 19,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.38 : 34,090.56 = 14,096.34 : x
  2. Step 2: Convert to fraction form
    24,703.38/34,090.56 = 14,096.34/x
  3. Step 3: Cross multiply
    24,703.38x = 34,090.56 × 14,096.34
  4. Step 4: Simplify right side
    24,703.38x = 480,552,124.55
  5. Step 5: Solve for x
    x = 480,552,124.55/24,703.38
  6. Step 6: Final answer
    x = 19,452.89

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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.