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Finding the Fourth Proportional to 14,531.76, 20,053.44 and 8,563.80

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Solution

The fourth proportional to 14,531.76, 20,053.44 and 8,563.80 is: 11,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.76 : 20,053.44 = 8,563.80 : x
  2. Step 2: Convert to fraction form
    14,531.76/20,053.44 = 8,563.80/x
  3. Step 3: Cross multiply
    14,531.76x = 20,053.44 × 8,563.80
  4. Step 4: Simplify right side
    14,531.76x = 171,733,649.47
  5. Step 5: Solve for x
    x = 171,733,649.47/14,531.76
  6. Step 6: Final answer
    x = 11,817.81

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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.