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Finding the Fourth Proportional to 16,274.46, 24,411.69 and 5,184.55

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Solution

The fourth proportional to 16,274.46, 24,411.69 and 5,184.55 is: 7,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.46 : 24,411.69 = 5,184.55 : x
  2. Step 2: Convert to fraction form
    16,274.46/24,411.69 = 5,184.55/x
  3. Step 3: Cross multiply
    16,274.46x = 24,411.69 × 5,184.55
  4. Step 4: Simplify right side
    16,274.46x = 126,563,627.39
  5. Step 5: Solve for x
    x = 126,563,627.39/16,274.46
  6. Step 6: Final answer
    x = 7,776.83

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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.