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Finding the Fourth Proportional to 14,914.37, 20,582.19 and 8,200.12

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Solution

The fourth proportional to 14,914.37, 20,582.19 and 8,200.12 is: 11,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.37 : 20,582.19 = 8,200.12 : x
  2. Step 2: Convert to fraction form
    14,914.37/20,582.19 = 8,200.12/x
  3. Step 3: Cross multiply
    14,914.37x = 20,582.19 × 8,200.12
  4. Step 4: Simplify right side
    14,914.37x = 168,776,427.86
  5. Step 5: Solve for x
    x = 168,776,427.86/14,914.37
  6. Step 6: Final answer
    x = 11,316.36

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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.