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Finding the Fourth Proportional to 24,308.57, 33,545.91 and 13,698.38

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Solution

The fourth proportional to 24,308.57, 33,545.91 and 13,698.38 is: 18,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.57 : 33,545.91 = 13,698.38 : x
  2. Step 2: Convert to fraction form
    24,308.57/33,545.91 = 13,698.38/x
  3. Step 3: Cross multiply
    24,308.57x = 33,545.91 × 13,698.38
  4. Step 4: Simplify right side
    24,308.57x = 459,524,622.63
  5. Step 5: Solve for x
    x = 459,524,622.63/24,308.57
  6. Step 6: Final answer
    x = 18,903.81

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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.