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Finding the Fourth Proportional to 15,910.80, 23,867.16 and 4,224

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Solution

The fourth proportional to 15,910.80, 23,867.16 and 4,224 is: 6,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,910.80 : 23,867.16 = 4,224 : x
  2. Step 2: Convert to fraction form
    15,910.80/23,867.16 = 4,224/x
  3. Step 3: Cross multiply
    15,910.80x = 23,867.16 × 4,224
  4. Step 4: Simplify right side
    15,910.80x = 100,814,883.84
  5. Step 5: Solve for x
    x = 100,814,883.84/15,910.80
  6. Step 6: Final answer
    x = 6,336.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.