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Finding the Fourth Proportional to 13,434.38, 18,533.68 and 8,389.83

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Solution

The fourth proportional to 13,434.38, 18,533.68 and 8,389.83 is: 11,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.38 : 18,533.68 = 8,389.83 : x
  2. Step 2: Convert to fraction form
    13,434.38/18,533.68 = 8,389.83/x
  3. Step 3: Cross multiply
    13,434.38x = 18,533.68 × 8,389.83
  4. Step 4: Simplify right side
    13,434.38x = 155,494,403.50
  5. Step 5: Solve for x
    x = 155,494,403.50/13,434.38
  6. Step 6: Final answer
    x = 11,574.37

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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.