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Finding the Fourth Proportional to 14,914.90, 20,582.29 and 8,200.45

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Solution

The fourth proportional to 14,914.90, 20,582.29 and 8,200.45 is: 11,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.90 : 20,582.29 = 8,200.45 : x
  2. Step 2: Convert to fraction form
    14,914.90/20,582.29 = 8,200.45/x
  3. Step 3: Cross multiply
    14,914.90x = 20,582.29 × 8,200.45
  4. Step 4: Simplify right side
    14,914.90x = 168,784,040.03
  5. Step 5: Solve for x
    x = 168,784,040.03/14,914.90
  6. Step 6: Final answer
    x = 11,316.47

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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.