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Finding the Fourth Proportional to 14,571.30, 21,856.71 and 5,208.78

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Solution

The fourth proportional to 14,571.30, 21,856.71 and 5,208.78 is: 7,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.30 : 21,856.71 = 5,208.78 : x
  2. Step 2: Convert to fraction form
    14,571.30/21,856.71 = 5,208.78/x
  3. Step 3: Cross multiply
    14,571.30x = 21,856.71 × 5,208.78
  4. Step 4: Simplify right side
    14,571.30x = 113,846,793.91
  5. Step 5: Solve for x
    x = 113,846,793.91/14,571.30
  6. Step 6: Final answer
    x = 7,813.08

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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.