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Finding the Fourth Proportional to 13,570.70, 20,355.90 and 3,709.98

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Solution

The fourth proportional to 13,570.70, 20,355.90 and 3,709.98 is: 5,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.70 : 20,355.90 = 3,709.98 : x
  2. Step 2: Convert to fraction form
    13,570.70/20,355.90 = 3,709.98/x
  3. Step 3: Cross multiply
    13,570.70x = 20,355.90 × 3,709.98
  4. Step 4: Simplify right side
    13,570.70x = 75,519,981.88
  5. Step 5: Solve for x
    x = 75,519,981.88/13,570.70
  6. Step 6: Final answer
    x = 5,564.93

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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.