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Finding the Fourth Proportional to 20,124.50, 30,142.98 and 9,714.38

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Solution

The fourth proportional to 20,124.50, 30,142.98 and 9,714.38 is: 14,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.50 : 30,142.98 = 9,714.38 : x
  2. Step 2: Convert to fraction form
    20,124.50/30,142.98 = 9,714.38/x
  3. Step 3: Cross multiply
    20,124.50x = 30,142.98 × 9,714.38
  4. Step 4: Simplify right side
    20,124.50x = 292,820,211.34
  5. Step 5: Solve for x
    x = 292,820,211.34/20,124.50
  6. Step 6: Final answer
    x = 14,550.44

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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.