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Finding the Fourth Proportional to 13,580.20, 20,366.70 and 4,814.20

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Solution

The fourth proportional to 13,580.20, 20,366.70 and 4,814.20 is: 7,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.20 : 20,366.70 = 4,814.20 : x
  2. Step 2: Convert to fraction form
    13,580.20/20,366.70 = 4,814.20/x
  3. Step 3: Cross multiply
    13,580.20x = 20,366.70 × 4,814.20
  4. Step 4: Simplify right side
    13,580.20x = 98,049,367.14
  5. Step 5: Solve for x
    x = 98,049,367.14/13,580.20
  6. Step 6: Final answer
    x = 7,220.02

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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.