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Finding the Fourth Proportional to 23,847.77, 32,909.90 and 13,237.38

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Solution

The fourth proportional to 23,847.77, 32,909.90 and 13,237.38 is: 18,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.77 : 32,909.90 = 13,237.38 : x
  2. Step 2: Convert to fraction form
    23,847.77/32,909.90 = 13,237.38/x
  3. Step 3: Cross multiply
    23,847.77x = 32,909.90 × 13,237.38
  4. Step 4: Simplify right side
    23,847.77x = 435,640,785.88
  5. Step 5: Solve for x
    x = 435,640,785.88/23,847.77
  6. Step 6: Final answer
    x = 18,267.57

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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.