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Finding the Fourth Proportional to 12,930.57, 17,823.96 and 10,813.14

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Solution

The fourth proportional to 12,930.57, 17,823.96 and 10,813.14 is: 14,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.57 : 17,823.96 = 10,813.14 : x
  2. Step 2: Convert to fraction form
    12,930.57/17,823.96 = 10,813.14/x
  3. Step 3: Cross multiply
    12,930.57x = 17,823.96 × 10,813.14
  4. Step 4: Simplify right side
    12,930.57x = 192,732,974.83
  5. Step 5: Solve for x
    x = 192,732,974.83/12,930.57
  6. Step 6: Final answer
    x = 14,905.22

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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.