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Finding the Fourth Proportional to 12,713.37, 19,071.84 and 4,813.71

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Solution

The fourth proportional to 12,713.37, 19,071.84 and 4,813.71 is: 7,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.37 : 19,071.84 = 4,813.71 : x
  2. Step 2: Convert to fraction form
    12,713.37/19,071.84 = 4,813.71/x
  3. Step 3: Cross multiply
    12,713.37x = 19,071.84 × 4,813.71
  4. Step 4: Simplify right side
    12,713.37x = 91,806,306.93
  5. Step 5: Solve for x
    x = 91,806,306.93/12,713.37
  6. Step 6: Final answer
    x = 7,221.24

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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.