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Finding the Fourth Proportional to 14,296.83, 19,729.16 and 7,836.45

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Solution

The fourth proportional to 14,296.83, 19,729.16 and 7,836.45 is: 10,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.83 : 19,729.16 = 7,836.45 : x
  2. Step 2: Convert to fraction form
    14,296.83/19,729.16 = 7,836.45/x
  3. Step 3: Cross multiply
    14,296.83x = 19,729.16 × 7,836.45
  4. Step 4: Simplify right side
    14,296.83x = 154,606,438.05
  5. Step 5: Solve for x
    x = 154,606,438.05/14,296.83
  6. Step 6: Final answer
    x = 10,814.04

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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.