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Finding the Fourth Proportional to 12,902.91, 17,816.55 and 10,513.23

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Solution

The fourth proportional to 12,902.91, 17,816.55 and 10,513.23 is: 14,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.91 : 17,816.55 = 10,513.23 : x
  2. Step 2: Convert to fraction form
    12,902.91/17,816.55 = 10,513.23/x
  3. Step 3: Cross multiply
    12,902.91x = 17,816.55 × 10,513.23
  4. Step 4: Simplify right side
    12,902.91x = 187,309,487.96
  5. Step 5: Solve for x
    x = 187,309,487.96/12,902.91
  6. Step 6: Final answer
    x = 14,516.84

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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.