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Finding the Fourth Proportional to 13,428.63, 18,516.57 and 9,180.38

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Solution

The fourth proportional to 13,428.63, 18,516.57 and 9,180.38 is: 12,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.63 : 18,516.57 = 9,180.38 : x
  2. Step 2: Convert to fraction form
    13,428.63/18,516.57 = 9,180.38/x
  3. Step 3: Cross multiply
    13,428.63x = 18,516.57 × 9,180.38
  4. Step 4: Simplify right side
    13,428.63x = 169,989,195.19
  5. Step 5: Solve for x
    x = 169,989,195.19/13,428.63
  6. Step 6: Final answer
    x = 12,658.71

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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.