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Finding the Fourth Proportional to 17,780.14, 26,677.99 and 8,426.84

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Solution

The fourth proportional to 17,780.14, 26,677.99 and 8,426.84 is: 12,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.14 : 26,677.99 = 8,426.84 : x
  2. Step 2: Convert to fraction form
    17,780.14/26,677.99 = 8,426.84/x
  3. Step 3: Cross multiply
    17,780.14x = 26,677.99 × 8,426.84
  4. Step 4: Simplify right side
    17,780.14x = 224,811,030.40
  5. Step 5: Solve for x
    x = 224,811,030.40/17,780.14
  6. Step 6: Final answer
    x = 12,643.94

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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.