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Finding the Fourth Proportional to 17,285.40, 25,965.09 and 14,658.30

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Solution

The fourth proportional to 17,285.40, 25,965.09 and 14,658.30 is: 22,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285.40 : 25,965.09 = 14,658.30 : x
  2. Step 2: Convert to fraction form
    17,285.40/25,965.09 = 14,658.30/x
  3. Step 3: Cross multiply
    17,285.40x = 25,965.09 × 14,658.30
  4. Step 4: Simplify right side
    17,285.40x = 380,604,078.75
  5. Step 5: Solve for x
    x = 380,604,078.75/17,285.40
  6. Step 6: Final answer
    x = 22,018.82

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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.