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Finding the Fourth Proportional to 10,950.20, 16,421.70 and 4,023.80

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Solution

The fourth proportional to 10,950.20, 16,421.70 and 4,023.80 is: 6,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.20 : 16,421.70 = 4,023.80 : x
  2. Step 2: Convert to fraction form
    10,950.20/16,421.70 = 4,023.80/x
  3. Step 3: Cross multiply
    10,950.20x = 16,421.70 × 4,023.80
  4. Step 4: Simplify right side
    10,950.20x = 66,077,636.46
  5. Step 5: Solve for x
    x = 66,077,636.46/10,950.20
  6. Step 6: Final answer
    x = 6,034.38

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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.