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Finding the Fourth Proportional to 14,892.45, 20,550.30 and 8,178

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Solution

The fourth proportional to 14,892.45, 20,550.30 and 8,178 is: 11,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892.45 : 20,550.30 = 8,178 : x
  2. Step 2: Convert to fraction form
    14,892.45/20,550.30 = 8,178/x
  3. Step 3: Cross multiply
    14,892.45x = 20,550.30 × 8,178
  4. Step 4: Simplify right side
    14,892.45x = 168,060,353.40
  5. Step 5: Solve for x
    x = 168,060,353.40/14,892.45
  6. Step 6: Final answer
    x = 11,284.94

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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.