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Finding the Fourth Proportional to 13,404.38, 18,491.61 and 9,813.68

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Solution

The fourth proportional to 13,404.38, 18,491.61 and 9,813.68 is: 13,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.38 : 18,491.61 = 9,813.68 : x
  2. Step 2: Convert to fraction form
    13,404.38/18,491.61 = 9,813.68/x
  3. Step 3: Cross multiply
    13,404.38x = 18,491.61 × 9,813.68
  4. Step 4: Simplify right side
    13,404.38x = 181,470,743.22
  5. Step 5: Solve for x
    x = 181,470,743.22/13,404.38
  6. Step 6: Final answer
    x = 13,538.17

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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.