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Finding the Fourth Proportional to 16,827.30, 25,238.94 and 6,965.40

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Solution

The fourth proportional to 16,827.30, 25,238.94 and 6,965.40 is: 10,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.30 : 25,238.94 = 6,965.40 : x
  2. Step 2: Convert to fraction form
    16,827.30/25,238.94 = 6,965.40/x
  3. Step 3: Cross multiply
    16,827.30x = 25,238.94 × 6,965.40
  4. Step 4: Simplify right side
    16,827.30x = 175,799,312.68
  5. Step 5: Solve for x
    x = 175,799,312.68/16,827.30
  6. Step 6: Final answer
    x = 10,447.27

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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.