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Finding the Fourth Proportional to 14,531.94, 20,053.89 and 8,563.86

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Solution

The fourth proportional to 14,531.94, 20,053.89 and 8,563.86 is: 11,818.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.94 : 20,053.89 = 8,563.86 : x
  2. Step 2: Convert to fraction form
    14,531.94/20,053.89 = 8,563.86/x
  3. Step 3: Cross multiply
    14,531.94x = 20,053.89 × 8,563.86
  4. Step 4: Simplify right side
    14,531.94x = 171,738,706.42
  5. Step 5: Solve for x
    x = 171,738,706.42/14,531.94
  6. Step 6: Final answer
    x = 11,818.02

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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.