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Finding the Fourth Proportional to 17,454.84, 26,226 and 16,405.08

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Solution

The fourth proportional to 17,454.84, 26,226 and 16,405.08 is: 24,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.84 : 26,226 = 16,405.08 : x
  2. Step 2: Convert to fraction form
    17,454.84/26,226 = 16,405.08/x
  3. Step 3: Cross multiply
    17,454.84x = 26,226 × 16,405.08
  4. Step 4: Simplify right side
    17,454.84x = 430,239,628.08
  5. Step 5: Solve for x
    x = 430,239,628.08/17,454.84
  6. Step 6: Final answer
    x = 24,648.73

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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.