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Finding the Fourth Proportional to 14,164.48, 19,546.72 and 7,876.80

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Solution

The fourth proportional to 14,164.48, 19,546.72 and 7,876.80 is: 10,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.48 : 19,546.72 = 7,876.80 : x
  2. Step 2: Convert to fraction form
    14,164.48/19,546.72 = 7,876.80/x
  3. Step 3: Cross multiply
    14,164.48x = 19,546.72 × 7,876.80
  4. Step 4: Simplify right side
    14,164.48x = 153,965,604.10
  5. Step 5: Solve for x
    x = 153,965,604.10/14,164.48
  6. Step 6: Final answer
    x = 10,869.84

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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.