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Finding the Fourth Proportional to 23,720.87, 35,581.94 and 11,237.87

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Solution

The fourth proportional to 23,720.87, 35,581.94 and 11,237.87 is: 16,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.87 : 35,581.94 = 11,237.87 : x
  2. Step 2: Convert to fraction form
    23,720.87/35,581.94 = 11,237.87/x
  3. Step 3: Cross multiply
    23,720.87x = 35,581.94 × 11,237.87
  4. Step 4: Simplify right side
    23,720.87x = 399,865,216.07
  5. Step 5: Solve for x
    x = 399,865,216.07/23,720.87
  6. Step 6: Final answer
    x = 16,857.11

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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.