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Finding the Fourth Proportional to 20,524.18, 28,323 and 11,571.70

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Solution

The fourth proportional to 20,524.18, 28,323 and 11,571.70 is: 15,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.18 : 28,323 = 11,571.70 : x
  2. Step 2: Convert to fraction form
    20,524.18/28,323 = 11,571.70/x
  3. Step 3: Cross multiply
    20,524.18x = 28,323 × 11,571.70
  4. Step 4: Simplify right side
    20,524.18x = 327,745,259.10
  5. Step 5: Solve for x
    x = 327,745,259.10/20,524.18
  6. Step 6: Final answer
    x = 15,968.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.