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Finding the Fourth Proportional to 23,856.84, 35,811.90 and 14,014.44

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Solution

The fourth proportional to 23,856.84, 35,811.90 and 14,014.44 is: 21,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.84 : 35,811.90 = 14,014.44 : x
  2. Step 2: Convert to fraction form
    23,856.84/35,811.90 = 14,014.44/x
  3. Step 3: Cross multiply
    23,856.84x = 35,811.90 × 14,014.44
  4. Step 4: Simplify right side
    23,856.84x = 501,883,723.84
  5. Step 5: Solve for x
    x = 501,883,723.84/23,856.84
  6. Step 6: Final answer
    x = 21,037.31

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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.