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Finding the Fourth Proportional to 13,577.40, 20,349.90 and 7,000.20

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Solution

The fourth proportional to 13,577.40, 20,349.90 and 7,000.20 is: 10,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.40 : 20,349.90 = 7,000.20 : x
  2. Step 2: Convert to fraction form
    13,577.40/20,349.90 = 7,000.20/x
  3. Step 3: Cross multiply
    13,577.40x = 20,349.90 × 7,000.20
  4. Step 4: Simplify right side
    13,577.40x = 142,453,369.98
  5. Step 5: Solve for x
    x = 142,453,369.98/13,577.40
  6. Step 6: Final answer
    x = 10,491.95

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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.