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Finding the Fourth Proportional to 23,405.08, 35,085.48 and 7,811.50

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Solution

The fourth proportional to 23,405.08, 35,085.48 and 7,811.50 is: 11,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.08 : 35,085.48 = 7,811.50 : x
  2. Step 2: Convert to fraction form
    23,405.08/35,085.48 = 7,811.50/x
  3. Step 3: Cross multiply
    23,405.08x = 35,085.48 × 7,811.50
  4. Step 4: Simplify right side
    23,405.08x = 274,070,227.02
  5. Step 5: Solve for x
    x = 274,070,227.02/23,405.08
  6. Step 6: Final answer
    x = 11,709.86

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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.