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Finding the Fourth Proportional to 17,206.42, 25,807.19 and 8,438.98

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Solution

The fourth proportional to 17,206.42, 25,807.19 and 8,438.98 is: 12,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.42 : 25,807.19 = 8,438.98 : x
  2. Step 2: Convert to fraction form
    17,206.42/25,807.19 = 8,438.98/x
  3. Step 3: Cross multiply
    17,206.42x = 25,807.19 × 8,438.98
  4. Step 4: Simplify right side
    17,206.42x = 217,786,231.23
  5. Step 5: Solve for x
    x = 217,786,231.23/17,206.42
  6. Step 6: Final answer
    x = 12,657.27

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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.