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Finding the Fourth Proportional to 17,225.68, 25,826.78 and 8,771.40

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Solution

The fourth proportional to 17,225.68, 25,826.78 and 8,771.40 is: 13,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225.68 : 25,826.78 = 8,771.40 : x
  2. Step 2: Convert to fraction form
    17,225.68/25,826.78 = 8,771.40/x
  3. Step 3: Cross multiply
    17,225.68x = 25,826.78 × 8,771.40
  4. Step 4: Simplify right side
    17,225.68x = 226,537,018.09
  5. Step 5: Solve for x
    x = 226,537,018.09/17,225.68
  6. Step 6: Final answer
    x = 13,151.12

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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.