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Finding the Fourth Proportional to 23,806.29, 35,709.95 and 8,011.80

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Solution

The fourth proportional to 23,806.29, 35,709.95 and 8,011.80 is: 12,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.29 : 35,709.95 = 8,011.80 : x
  2. Step 2: Convert to fraction form
    23,806.29/35,709.95 = 8,011.80/x
  3. Step 3: Cross multiply
    23,806.29x = 35,709.95 × 8,011.80
  4. Step 4: Simplify right side
    23,806.29x = 286,100,977.41
  5. Step 5: Solve for x
    x = 286,100,977.41/23,806.29
  6. Step 6: Final answer
    x = 12,017.87

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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.