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Finding the Fourth Proportional to 12,806.83, 17,673.51 and 7,141.96

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Solution

The fourth proportional to 12,806.83, 17,673.51 and 7,141.96 is: 9,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.83 : 17,673.51 = 7,141.96 : x
  2. Step 2: Convert to fraction form
    12,806.83/17,673.51 = 7,141.96/x
  3. Step 3: Cross multiply
    12,806.83x = 17,673.51 × 7,141.96
  4. Step 4: Simplify right side
    12,806.83x = 126,223,501.48
  5. Step 5: Solve for x
    x = 126,223,501.48/12,806.83
  6. Step 6: Final answer
    x = 9,855.95

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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.