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Finding the Fourth Proportional to 12,813.16, 17,685.54 and 8,834.92

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Solution

The fourth proportional to 12,813.16, 17,685.54 and 8,834.92 is: 12,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.16 : 17,685.54 = 8,834.92 : x
  2. Step 2: Convert to fraction form
    12,813.16/17,685.54 = 8,834.92/x
  3. Step 3: Cross multiply
    12,813.16x = 17,685.54 × 8,834.92
  4. Step 4: Simplify right side
    12,813.16x = 156,250,331.06
  5. Step 5: Solve for x
    x = 156,250,331.06/12,813.16
  6. Step 6: Final answer
    x = 12,194.52

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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.