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Finding the Fourth Proportional to 13,466.14, 20,200.54 and 5,153.14

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Solution

The fourth proportional to 13,466.14, 20,200.54 and 5,153.14 is: 7,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.14 : 20,200.54 = 5,153.14 : x
  2. Step 2: Convert to fraction form
    13,466.14/20,200.54 = 5,153.14/x
  3. Step 3: Cross multiply
    13,466.14x = 20,200.54 × 5,153.14
  4. Step 4: Simplify right side
    13,466.14x = 104,096,210.70
  5. Step 5: Solve for x
    x = 104,096,210.70/13,466.14
  6. Step 6: Final answer
    x = 7,730.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.