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Finding the Fourth Proportional to 10,149.86, 15,200.20 and 7,021.10

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Solution

The fourth proportional to 10,149.86, 15,200.20 and 7,021.10 is: 10,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.86 : 15,200.20 = 7,021.10 : x
  2. Step 2: Convert to fraction form
    10,149.86/15,200.20 = 7,021.10/x
  3. Step 3: Cross multiply
    10,149.86x = 15,200.20 × 7,021.10
  4. Step 4: Simplify right side
    10,149.86x = 106,722,124.22
  5. Step 5: Solve for x
    x = 106,722,124.22/10,149.86
  6. Step 6: Final answer
    x = 10,514.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.