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Finding the Fourth Proportional to 10,013.80, 15,021.84 and 2,994.21

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Solution

The fourth proportional to 10,013.80, 15,021.84 and 2,994.21 is: 4,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.80 : 15,021.84 = 2,994.21 : x
  2. Step 2: Convert to fraction form
    10,013.80/15,021.84 = 2,994.21/x
  3. Step 3: Cross multiply
    10,013.80x = 15,021.84 × 2,994.21
  4. Step 4: Simplify right side
    10,013.80x = 44,978,543.55
  5. Step 5: Solve for x
    x = 44,978,543.55/10,013.80
  6. Step 6: Final answer
    x = 4,491.66

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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.