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Finding the Fourth Proportional to 17,823.59, 26,731.11 and 5,977.80

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Solution

The fourth proportional to 17,823.59, 26,731.11 and 5,977.80 is: 8,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.59 : 26,731.11 = 5,977.80 : x
  2. Step 2: Convert to fraction form
    17,823.59/26,731.11 = 5,977.80/x
  3. Step 3: Cross multiply
    17,823.59x = 26,731.11 × 5,977.80
  4. Step 4: Simplify right side
    17,823.59x = 159,793,251.77
  5. Step 5: Solve for x
    x = 159,793,251.77/17,823.59
  6. Step 6: Final answer
    x = 8,965.27

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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.