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Finding the Fourth Proportional to 23,652.75, 35,486.49 and 7,012.87

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Solution

The fourth proportional to 23,652.75, 35,486.49 and 7,012.87 is: 10,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.75 : 35,486.49 = 7,012.87 : x
  2. Step 2: Convert to fraction form
    23,652.75/35,486.49 = 7,012.87/x
  3. Step 3: Cross multiply
    23,652.75x = 35,486.49 × 7,012.87
  4. Step 4: Simplify right side
    23,652.75x = 248,861,928.63
  5. Step 5: Solve for x
    x = 248,861,928.63/23,652.75
  6. Step 6: Final answer
    x = 10,521.48

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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.