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Finding the Fourth Proportional to 20,042.56, 30,024.96 and 14,768

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Solution

The fourth proportional to 20,042.56, 30,024.96 and 14,768 is: 22,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.56 : 30,024.96 = 14,768 : x
  2. Step 2: Convert to fraction form
    20,042.56/30,024.96 = 14,768/x
  3. Step 3: Cross multiply
    20,042.56x = 30,024.96 × 14,768
  4. Step 4: Simplify right side
    20,042.56x = 443,408,609.28
  5. Step 5: Solve for x
    x = 443,408,609.28/20,042.56
  6. Step 6: Final answer
    x = 22,123.35

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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.