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Finding the Fourth Proportional to 16,685.76, 25,027.70 and 4,205.76

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Solution

The fourth proportional to 16,685.76, 25,027.70 and 4,205.76 is: 6,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.76 : 25,027.70 = 4,205.76 : x
  2. Step 2: Convert to fraction form
    16,685.76/25,027.70 = 4,205.76/x
  3. Step 3: Cross multiply
    16,685.76x = 25,027.70 × 4,205.76
  4. Step 4: Simplify right side
    16,685.76x = 105,260,499.55
  5. Step 5: Solve for x
    x = 105,260,499.55/16,685.76
  6. Step 6: Final answer
    x = 6,308.40

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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.