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Finding the Fourth Proportional to 13,364.10, 18,414.81 and 9,389.70

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Solution

The fourth proportional to 13,364.10, 18,414.81 and 9,389.70 is: 12,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.10 : 18,414.81 = 9,389.70 : x
  2. Step 2: Convert to fraction form
    13,364.10/18,414.81 = 9,389.70/x
  3. Step 3: Cross multiply
    13,364.10x = 18,414.81 × 9,389.70
  4. Step 4: Simplify right side
    13,364.10x = 172,909,541.46
  5. Step 5: Solve for x
    x = 172,909,541.46/13,364.10
  6. Step 6: Final answer
    x = 12,938.36

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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.