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Finding the Fourth Proportional to 23,486.60, 35,234.70 and 7,905.80

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Solution

The fourth proportional to 23,486.60, 35,234.70 and 7,905.80 is: 11,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.60 : 35,234.70 = 7,905.80 : x
  2. Step 2: Convert to fraction form
    23,486.60/35,234.70 = 7,905.80/x
  3. Step 3: Cross multiply
    23,486.60x = 35,234.70 × 7,905.80
  4. Step 4: Simplify right side
    23,486.60x = 278,558,491.26
  5. Step 5: Solve for x
    x = 278,558,491.26/23,486.60
  6. Step 6: Final answer
    x = 11,860.32

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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.