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Finding the Fourth Proportional to 16,892.80, 23,312.04 and 10,178.71

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Solution

The fourth proportional to 16,892.80, 23,312.04 and 10,178.71 is: 14,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,892.80 : 23,312.04 = 10,178.71 : x
  2. Step 2: Convert to fraction form
    16,892.80/23,312.04 = 10,178.71/x
  3. Step 3: Cross multiply
    16,892.80x = 23,312.04 × 10,178.71
  4. Step 4: Simplify right side
    16,892.80x = 237,286,494.67
  5. Step 5: Solve for x
    x = 237,286,494.67/16,892.80
  6. Step 6: Final answer
    x = 14,046.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.