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Finding the Fourth Proportional to 13,605.70, 20,401.47 and 4,839.34

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Solution

The fourth proportional to 13,605.70, 20,401.47 and 4,839.34 is: 7,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.70 : 20,401.47 = 4,839.34 : x
  2. Step 2: Convert to fraction form
    13,605.70/20,401.47 = 4,839.34/x
  3. Step 3: Cross multiply
    13,605.70x = 20,401.47 × 4,839.34
  4. Step 4: Simplify right side
    13,605.70x = 98,729,649.83
  5. Step 5: Solve for x
    x = 98,729,649.83/13,605.70
  6. Step 6: Final answer
    x = 7,256.49

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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.