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Finding the Fourth Proportional to 13,614.30, 18,806.85 and 10,510.38

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Solution

The fourth proportional to 13,614.30, 18,806.85 and 10,510.38 is: 14,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.30 : 18,806.85 = 10,510.38 : x
  2. Step 2: Convert to fraction form
    13,614.30/18,806.85 = 10,510.38/x
  3. Step 3: Cross multiply
    13,614.30x = 18,806.85 × 10,510.38
  4. Step 4: Simplify right side
    13,614.30x = 197,667,140.10
  5. Step 5: Solve for x
    x = 197,667,140.10/13,614.30
  6. Step 6: Final answer
    x = 14,519.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.