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Finding the Fourth Proportional to 16,411.44, 24,624.72 and 10,178.76

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Solution

The fourth proportional to 16,411.44, 24,624.72 and 10,178.76 is: 15,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.44 : 24,624.72 = 10,178.76 : x
  2. Step 2: Convert to fraction form
    16,411.44/24,624.72 = 10,178.76/x
  3. Step 3: Cross multiply
    16,411.44x = 24,624.72 × 10,178.76
  4. Step 4: Simplify right side
    16,411.44x = 250,649,114.95
  5. Step 5: Solve for x
    x = 250,649,114.95/16,411.44
  6. Step 6: Final answer
    x = 15,272.83

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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.