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Finding the Fourth Proportional to 23,668.40, 35,489.10 and 8,877.80

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Solution

The fourth proportional to 23,668.40, 35,489.10 and 8,877.80 is: 13,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.40 : 35,489.10 = 8,877.80 : x
  2. Step 2: Convert to fraction form
    23,668.40/35,489.10 = 8,877.80/x
  3. Step 3: Cross multiply
    23,668.40x = 35,489.10 × 8,877.80
  4. Step 4: Simplify right side
    23,668.40x = 315,065,131.98
  5. Step 5: Solve for x
    x = 315,065,131.98/23,668.40
  6. Step 6: Final answer
    x = 13,311.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.