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Finding the Fourth Proportional to 14,571.64, 21,862.05 and 5,211.43

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Solution

The fourth proportional to 14,571.64, 21,862.05 and 5,211.43 is: 7,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.64 : 21,862.05 = 5,211.43 : x
  2. Step 2: Convert to fraction form
    14,571.64/21,862.05 = 5,211.43/x
  3. Step 3: Cross multiply
    14,571.64x = 21,862.05 × 5,211.43
  4. Step 4: Simplify right side
    14,571.64x = 113,932,543.23
  5. Step 5: Solve for x
    x = 113,932,543.23/14,571.64
  6. Step 6: Final answer
    x = 7,818.79

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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.